475113124813824 has 440 divisors, whose sum is σ = 1673768973713408. Its totient is φ = 131367679303680.

The previous prime is 475113124813813. The next prime is 475113124813883. The reversal of 475113124813824 is 428318421311574.

It is a happy number.

475113124813824 is a `hidden beast` number, since 4 + 7 + 5 + 1 + 13 + 1 + 248 + 1 + 382 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4800417 + ... + 31197279.

Almost surely, 2^{475113124813824} 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 475113124813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836884486856704).

475113124813824 is an abundant number, since it is smaller than the sum of its proper divisors (1198655848899584).

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

475113124813824 is a wasteful number, since it uses less digits than its factorization.

475113124813824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26396933 (or 26396906 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 475113124813824 in words is "four hundred seventy-five trillion, one hundred thirteen billion, one hundred twenty-four million, eight hundred thirteen thousand, eight hundred twenty-four".