22511348468640 has 72 divisors (see below), whose sum is σ = 76819976654148. Its totient is φ = 6003026257920.

The previous prime is 22511348468629. The next prime is 22511348468701. The reversal of 22511348468640 is 4686484311522.

22511348468640 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 134 + 8 + 468 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22127954689296 + 383393779344 = 4704036^2 + 619188^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7816439001 + ... + 7816441880.

Almost surely, 2^{22511348468640} is an apocalyptic number.

22511348468640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22511348468640 is an abundant number, since it is smaller than the sum of its proper divisors (54308628185508).

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

22511348468640 is a wasteful number, since it uses less digits than its factorization.

22511348468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15632880902 (or 15632880891 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 22511348468640 in words is "twenty-two trillion, five hundred eleven billion, three hundred forty-eight million, four hundred sixty-eight thousand, six hundred forty".