21814354901056 has 189 divisors, whose sum is σ = 46061353805607. Its totient is φ = 10249876823040.

The previous prime is 21814354901039. The next prime is 21814354901081. The reversal of 21814354901056 is 65010945341812.

The square root of 21814354901056 is 4670584.

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 11084904360000 + 10729450541056 = 3329400^2 + 3275584^2 .

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, 42857278530 + ... + 42857279038.

Almost surely, 2^{21814354901056} is an apocalyptic number.

21814354901056 is the 4670584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21814354901056

21814354901056 is an abundant number, since it is smaller than the sum of its proper divisors (24246998904551).

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

21814354901056 is an frugal number, since it uses more digits than its factorization.

21814354901056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 21814354901056 in words is "twenty-one trillion, eight hundred fourteen billion, three hundred fifty-four million, nine hundred one thousand, fifty-six".