190457317764 has 960 divisors, whose sum is σ = 662559744000. Its totient is φ = 47048843520.

The previous prime is 190457317759. The next prime is 190457317801. The reversal of 190457317764 is 467713754091.

190457317764 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 573 + 1 + 7 + 7 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 190457317764.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4429239927 + ... + 4429239969.

It is an arithmetic number, because the mean of its divisors is an integer number (690166400).

Almost surely, 2^190457317764 is an apocalyptic number.

190457317764 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 190457317764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331279872000).

190457317764 is an abundant number, since it is smaller than the sum of its proper divisors (472102426236).

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

190457317764 is a wasteful number, since it uses less digits than its factorization.

190457317764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 190457317764 in words is "one hundred ninety billion, four hundred fifty-seven million, three hundred seventeen thousand, seven hundred sixty-four".