22303857508416 has 945 divisors, whose sum is σ = 74611623929997. Its totient is φ = 6583060408320.

The previous prime is 22303857508409. The next prime is 22303857508459. The reversal of 22303857508416 is 61480575830322.

The square root of 22303857508416 is 4722696.

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

22303857508416 is a `hidden beast` number, since 2 + 2 + 30 + 38 + 575 + 0 + 8 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4282813694016 + 18021043814400 = 2069496^2 + 4245120^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 250605140500 + ... + 250605140588.

Almost surely, 2^{22303857508416} is an apocalyptic number.

22303857508416 is the 4722696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22303857508416

22303857508416 is an abundant number, since it is smaller than the sum of its proper divisors (52307766421581).

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

22303857508416 is an frugal number, since it uses more digits than its factorization.

22303857508416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 22303857508416 in words is "twenty-two trillion, three hundred three billion, eight hundred fifty-seven million, five hundred eight thousand, four hundred sixteen".