190086833664 has 720 divisors, whose sum is σ = 709770821760. Its totient is φ = 48492380160.

The previous prime is 190086833659. The next prime is 190086833737. The reversal of 190086833664 is 466338680091.

190086833664 is a `hidden beast` number, since 190 + 0 + 8 + 68 + 336 + 64 = 666.

It is a super-2 number, since 2×190086833664² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 190086833664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90993132 + ... + 90995220.

It is an arithmetic number, because the mean of its divisors is an integer number (985792808).

Almost surely, 2^190086833664 is an apocalyptic number.

190086833664 is a gapful number since it is divisible by the number (14) 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 190086833664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354885410880).

190086833664 is an abundant number, since it is smaller than the sum of its proper divisors (519683988096).

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

190086833664 is a wasteful number, since it uses less digits than its factorization.

190086833664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 190086833664 in words is "one hundred ninety billion, eighty-six million, eight hundred thirty-three thousand, six hundred sixty-four".