496537809742656 has 2352 divisors, whose sum is σ = 1795024785254400. Its totient is φ = 135556768512000.

The previous prime is 496537809742603. The next prime is 496537809742657. The reversal of 496537809742656 is 656247908735694.

496537809742656 is a `hidden beast` number, since 4 + 9 + 6 + 53 + 7 + 8 + 0 + 97 + 426 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496537809742657) by changing a digit.

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 335 ways as a sum of consecutive naturals, for example, 196182460111 + ... + 196182462641.

Almost surely, 2^{496537809742656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496537809742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897512392627200).

496537809742656 is an abundant number, since it is smaller than the sum of its proper divisors (1298486975511744).

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

496537809742656 is a wasteful number, since it uses less digits than its factorization.

496537809742656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 16460236800, while the sum is 81.

The spelling of 496537809742656 in words is "four hundred ninety-six trillion, five hundred thirty-seven billion, eight hundred nine million, seven hundred forty-two thousand, six hundred fifty-six".