496144397059584 has 1280 divisors, whose sum is σ = 1769761501347840. Its totient is φ = 119946380083200.

The previous prime is 496144397059573. The next prime is 496144397059601. The reversal of 496144397059584 is 485950793441694.

It is a super-3 number, since 3×496144397059584³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79117266369 + ... + 79117272639.

It is an arithmetic number, because the mean of its divisors is an integer number (1382626172928).

Almost surely, 2^{496144397059584} 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 496144397059584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884880750673920).

496144397059584 is an abundant number, since it is smaller than the sum of its proper divisors (1273617104288256).

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

496144397059584 is an equidigital number, since it uses as much as digits as its factorization.

496144397059584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 4702924800, while the sum is 78.

The spelling of 496144397059584 in words is "four hundred ninety-six trillion, one hundred forty-four billion, three hundred ninety-seven million, fifty-nine thousand, five hundred eighty-four".