190909281024 has 2160 divisors, whose sum is σ = 812014156800. Its totient is φ = 43893964800.

The previous prime is 190909281011. The next prime is 190909281037. The reversal of 190909281024 is 420182909091.

It is an interprime number because it is at equal distance from previous prime (190909281011) and next prime (190909281037).

It is a super-2 number, since 2×190909281024² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6158363889 + ... + 6158363919.

It is an arithmetic number, because the mean of its divisors is an integer number (375932480).

Almost surely, 2^190909281024 is an apocalyptic number.

190909281024 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 190909281024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406007078400).

190909281024 is an abundant number, since it is smaller than the sum of its proper divisors (621104875776).

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

190909281024 is a wasteful number, since it uses less digits than its factorization.

190909281024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 190909281024 in words is "one hundred ninety billion, nine hundred nine million, two hundred eighty-one thousand, twenty-four".