479249113056896 has 384 divisors, whose sum is σ = 1189748022681600. Its totient is φ = 188280120397824.

The previous prime is 479249113056863. The next prime is 479249113056907. The reversal of 479249113056896 is 698650311942974.

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 47 ways as a sum of consecutive naturals, for example, 13281835271 + ... + 13281871353.

It is an arithmetic number, because the mean of its divisors is an integer number (3098302142400).

It is a 1-persistent number, because it is pandigital, but 2⋅479249113056896 = 958498226113792 is not.

Almost surely, 2^{479249113056896} 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 479249113056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594874011340800).

479249113056896 is an abundant number, since it is smaller than the sum of its proper divisors (710498909624704).

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

479249113056896 is a wasteful number, since it uses less digits than its factorization.

479249113056896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36736 (or 36711 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 74.

The spelling of 479249113056896 in words is "four hundred seventy-nine trillion, two hundred forty-nine billion, one hundred thirteen million, fifty-six thousand, eight hundred ninety-six".