21994824338496 has 315 divisors, whose sum is σ = 66507055559791. Its totient is φ = 7187422934016.

The previous prime is 21994824338489. The next prime is 21994824338503. The reversal of 21994824338496 is 69483342849912.

The square root of 21994824338496 is 4689864.

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

21994824338496 is a `hidden beast` number, since 2 + 1 + 9 + 94 + 8 + 2 + 43 + 3 + 8 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (21994824338489) and next prime (21994824338503).

It can be written as a sum of positive squares in 4 ways, for example, as 13496806440000 + 8498017898496 = 3673800^2 + 2915136^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

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, 17896520410 + ... + 17896521638.

Almost surely, 2^{21994824338496} is an apocalyptic number.

21994824338496 is the 4689864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21994824338496

21994824338496 is an abundant number, since it is smaller than the sum of its proper divisors (44512231221295).

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

21994824338496 is an frugal number, since it uses more digits than its factorization.

21994824338496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 1287 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 21994824338496 in words is "twenty-one trillion, nine hundred ninety-four billion, eight hundred twenty-four million, three hundred thirty-eight thousand, four hundred ninety-six".