479618811179552 has 192 divisors, whose sum is σ = 1092036034252800. Its totient is φ = 204930273300480.

The previous prime is 479618811179531. The next prime is 479618811179581. The reversal of 479618811179552 is 255971118816974.

It is a Smith number, since the sum of its digits (74) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 479618811179552.

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, 28618573349 + ... + 28618590107.

It is an arithmetic number, because the mean of its divisors is an integer number (5687687678400).

Almost surely, 2^{479618811179552} 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 479618811179552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546018017126400).

479618811179552 is an abundant number, since it is smaller than the sum of its proper divisors (612417223073248).

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

479618811179552 is a wasteful number, since it uses less digits than its factorization.

479618811179552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22439 (or 22431 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 74.

The spelling of 479618811179552 in words is "four hundred seventy-nine trillion, six hundred eighteen billion, eight hundred eleven million, one hundred seventy-nine thousand, five hundred fifty-two".