496118166957312 has 576 divisors, whose sum is σ = 1392005952691200. Its totient is φ = 156650742743040.

The previous prime is 496118166957293. The next prime is 496118166957313. The reversal of 496118166957312 is 213759661811694.

It is a super-3 number, since 3×496118166957312³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496118166957313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251453707558 + ... + 251453709530.

It is an arithmetic number, because the mean of its divisors is an integer number (2416677001200).

Almost surely, 2^{496118166957312} 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 496118166957312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696002976345600).

496118166957312 is an abundant number, since it is smaller than the sum of its proper divisors (895887785733888).

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

496118166957312 is a wasteful number, since it uses less digits than its factorization.

496118166957312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2920 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 69.

The spelling of 496118166957312 in words is "four hundred ninety-six trillion, one hundred eighteen billion, one hundred sixty-six million, nine hundred fifty-seven thousand, three hundred twelve".