523814473728 has 1664 divisors, whose sum is σ = 2085488885760. Its totient is φ = 126127964160.

The previous prime is 523814473709. The next prime is 523814473841. The reversal of 523814473728 is 827374418325.

It is a happy number.

523814473728 is a `hidden beast` number, since 5 + 23 + 81 + 4 + 473 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

Its product of digits (9031680) is a multiple of the sum of its prime factors (180).

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 127 ways as a sum of consecutive naturals, for example, 7175540700 + ... + 7175540772.

Almost surely, 2^523814473728 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 523814473728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042744442880).

523814473728 is an abundant number, since it is smaller than the sum of its proper divisors (1561674412032).

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

523814473728 is a wasteful number, since it uses less digits than its factorization.

523814473728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 523814473728 in words is "five hundred twenty-three billion, eight hundred fourteen million, four hundred seventy-three thousand, seven hundred twenty-eight".