52460353674304 has 189 divisors, whose sum is σ = 116753049928917. Its totient is φ = 23379553732608.

The previous prime is 52460353674283. The next prime is 52460353674353. The reversal of 52460353674304 is 40347635306425.

The square root of 52460353674304 is 7242952.

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

It can be written as a sum of positive squares in only one way, i.e., 40842835905600 + 11617517768704 = 6390840^2 + 3408448^2 .

It is a super-2 number, since 2×52460353674304² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18715786567 + ... + 18715789369.

Almost surely, 2^{52460353674304} is an apocalyptic number.

52460353674304 is the 7242952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52460353674304

52460353674304 is an abundant number, since it is smaller than the sum of its proper divisors (64292696254613).

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

52460353674304 is an frugal number, since it uses more digits than its factorization.

52460353674304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 52.

The spelling of 52460353674304 in words is "fifty-two trillion, four hundred sixty billion, three hundred fifty-three million, six hundred seventy-four thousand, three hundred four".