21614880400 has 45 divisors (see below), whose sum is σ = 51936815433. Its totient is φ = 8644776000.

The previous prime is 21614880389. The next prime is 21614880421. The reversal of 21614880400 is 408841612.

The square root of 21614880400 is 147020.

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., 7781356944 + 13833523456 = 88212^2 + 117616^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2936725 + ... + 2944075.

Almost surely, 2^21614880400 is an apocalyptic number.

21614880400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21614880400 is the 147020-th square number.

It is an amenable number.

21614880400 is an abundant number, since it is smaller than the sum of its proper divisors (30321935033).

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

21614880400 is an frugal number, since it uses more digits than its factorization.

21614880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14720 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 21614880400 in words is "twenty-one billion, six hundred fourteen million, eight hundred eighty thousand, four hundred".