6314264352400 has 45 divisors (see below), whose sum is σ = 15170140848603. Its totient is φ = 2525685638400.

The previous prime is 6314264352377. The next prime is 6314264352413. The reversal of 6314264352400 is 42534624136.

The square root of 6314264352400 is 2512820.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1567373794704 + 4746890557696 = 1251948^2 + 2178736^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50193580 + ... + 50319220.

Almost surely, 2^{6314264352400} is an apocalyptic number.

6314264352400 is the 2512820-th square number.

It is an amenable number.

6314264352400 is an abundant number, since it is smaller than the sum of its proper divisors (8855876496203).

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

6314264352400 is an frugal number, since it uses more digits than its factorization.

6314264352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251300 (or 125648 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

Adding to 6314264352400 its reverse (42534624136), we get a palindrome (6356798976536).

The spelling of 6314264352400 in words is "six trillion, three hundred fourteen billion, two hundred sixty-four million, three hundred fifty-two thousand, four hundred".