22357704872448 has 1120 divisors, whose sum is σ = 79867112320512. Its totient is φ = 6170237337600.

The previous prime is 22357704872443. The next prime is 22357704872453. The reversal of 22357704872448 is 84427840775322.

22357704872448 is a `hidden beast` number, since 2 + 2 + 3 + 57 + 70 + 4 + 8 + 72 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (22357704872443) and next prime (22357704872453).

It is not an unprimeable number, because it can be changed into a prime (22357704872443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2163713490 + ... + 2163723822.

Almost surely, 2^{22357704872448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22357704872448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39933556160256).

22357704872448 is an abundant number, since it is smaller than the sum of its proper divisors (57509407448064).

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

22357704872448 is a wasteful number, since it uses less digits than its factorization.

22357704872448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428 (or 10397 counting only the distinct ones).

The product of its (nonzero) digits is 168591360, while the sum is 63.

The spelling of 22357704872448 in words is "twenty-two trillion, three hundred fifty-seven billion, seven hundred four million, eight hundred seventy-two thousand, four hundred forty-eight".