22516848807264 has 144 divisors (see below), whose sum is σ = 75890120237568. Its totient is φ = 6433385357952.

The previous prime is 22516848807209. The next prime is 22516848807287. The reversal of 22516848807264 is 46270884861522.

It is a happy number.

22516848807264 is a `hidden beast` number, since 2 + 2 + 516 + 8 + 48 + 8 + 0 + 72 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206780232 + ... + 206889095.

It is an arithmetic number, because the mean of its divisors is an integer number (527014723872).

Almost surely, 2^{22516848807264} is an apocalyptic number.

22516848807264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22516848807264 is an abundant number, since it is smaller than the sum of its proper divisors (53373271430304).

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

22516848807264 is an equidigital number, since it uses as much as digits as its factorization.

22516848807264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413669359 (or 413669339 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 22516848807264 in words is "twenty-two trillion, five hundred sixteen billion, eight hundred forty-eight million, eight hundred seven thousand, two hundred sixty-four".