492535255468032 has 1344 divisors, whose sum is σ = 1790402748825600. Its totient is φ = 132261294735360.

The previous prime is 492535255468027. The next prime is 492535255468073. The reversal of 492535255468032 is 230864552535294.

492535255468032 is a `hidden beast` number, since 4 + 9 + 2 + 5 + 3 + 5 + 2 + 5 + 546 + 80 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25218118107 + ... + 25218137637.

It is an arithmetic number, because the mean of its divisors is an integer number (1332144902400).

Almost surely, 2^{492535255468032} is an apocalyptic number.

492535255468032 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 492535255468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895201374412800).

492535255468032 is an abundant number, since it is smaller than the sum of its proper divisors (1297867493357568).

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

492535255468032 is a wasteful number, since it uses less digits than its factorization.

492535255468032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19724 (or 19689 counting only the distinct ones).

The product of its (nonzero) digits is 311040000, while the sum is 63.

The spelling of 492535255468032 in words is "four hundred ninety-two trillion, five hundred thirty-five billion, two hundred fifty-five million, four hundred sixty-eight thousand, thirty-two".