492686256640032 has 864 divisors, whose sum is σ = 1799120093202432. Its totient is φ = 129865107520512.

The previous prime is 492686256639971. The next prime is 492686256640087. The reversal of 492686256640032 is 230046652686294.

It is a happy number.

492686256640032 is a `hidden beast` number, since 4 + 9 + 2 + 6 + 8 + 62 + 566 + 4 + 0 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×492686256640032² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17174533593 + ... + 17174562279.

It is an arithmetic number, because the mean of its divisors is an integer number (2082314922688).

Almost surely, 2^{492686256640032} is an apocalyptic number.

492686256640032 is a gapful number since it is divisible by the number (42) 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 492686256640032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899560046601216).

492686256640032 is an abundant number, since it is smaller than the sum of its proper divisors (1306433836562400).

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

492686256640032 is a wasteful number, since it uses less digits than its factorization.

492686256640032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30612 (or 30579 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 492686256640032 in words is "four hundred ninety-two trillion, six hundred eighty-six billion, two hundred fifty-six million, six hundred forty thousand, thirty-two".