190864901160 has 192 divisors, whose sum is σ = 623382065280. Its totient is φ = 50645952000.

The previous prime is 190864901141. The next prime is 190864901189. The reversal of 190864901160 is 61109468091.

190864901160 is a `hidden beast` number, since 1 + 90 + 8 + 6 + 490 + 11 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84790035 + ... + 84792285.

It is an arithmetic number, because the mean of its divisors is an integer number (3246781590).

Almost surely, 2^190864901160 is an apocalyptic number.

190864901160 is a gapful number since it is divisible by the number (10) 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 190864901160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311691032640).

190864901160 is an abundant number, since it is smaller than the sum of its proper divisors (432517164120).

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

190864901160 is a wasteful number, since it uses less digits than its factorization.

190864901160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3321 counting only the distinct ones).

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

The spelling of 190864901160 in words is "one hundred ninety billion, eight hundred sixty-four million, nine hundred one thousand, one hundred sixty".