190834128576 has 1344 divisors, whose sum is σ = 755506053120. Its totient is φ = 46357401600.

The previous prime is 190834128571. The next prime is 190834128601. The reversal of 190834128576 is 675821438091.

190834128576 is a `hidden beast` number, since 1 + 9 + 0 + 8 + 3 + 41 + 28 + 576 = 666.

190834128576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×190834128576² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (190834128571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1263802101 + ... + 1263802251.

It is an arithmetic number, because the mean of its divisors is an integer number (562132480).

It is a 1-persistent number, because it is pandigital, but 2⋅190834128576 = 381668257152 is not.

Almost surely, 2^190834128576 is an apocalyptic number.

190834128576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190834128576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377753026560).

190834128576 is an abundant number, since it is smaller than the sum of its proper divisors (564671924544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190834128576 is a wasteful number, since it uses less digits than its factorization.

190834128576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 190834128576 in words is "one hundred ninety billion, eight hundred thirty-four million, one hundred twenty-eight thousand, five hundred seventy-six".