526483750464 has 315 divisors, whose sum is σ = 1763335537457. Its totient is φ = 150180129792.

The previous prime is 526483750447. The next prime is 526483750487. The reversal of 526483750464 is 464057384625.

The square root of 526483750464 is 725592.

It is a perfect power (a square), and thus also a powerful number.

526483750464 is a `hidden beast` number, since 5 + 2 + 6 + 48 + 37 + 504 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15247310400 + 511236440064 = 123480^2 + 715008^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 526483750464.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 853295884 + ... + 853296500.

Almost surely, 2^526483750464 is an apocalyptic number.

526483750464 is the 725592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526483750464

526483750464 is an abundant number, since it is smaller than the sum of its proper divisors (1236851786993).

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

526483750464 is an frugal number, since it uses more digits than its factorization.

526483750464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 526483750464 in words is "five hundred twenty-six billion, four hundred eighty-three million, seven hundred fifty thousand, four hundred sixty-four".