496117315776 has 224 divisors, whose sum is σ = 1371512217600. Its totient is φ = 158133575680.

The previous prime is 496117315753. The next prime is 496117315781. The reversal of 496117315776 is 677513711694.

It is a super-2 number, since 2×496117315776² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177882190 + ... + 177884978.

It is an arithmetic number, because the mean of its divisors is an integer number (6122822400).

Almost surely, 2^496117315776 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 496117315776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685756108800).

496117315776 is an abundant number, since it is smaller than the sum of its proper divisors (875394901824).

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

496117315776 is a wasteful number, since it uses less digits than its factorization.

496117315776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3277 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 57.

The spelling of 496117315776 in words is "four hundred ninety-six billion, one hundred seventeen million, three hundred fifteen thousand, seven hundred seventy-six".