22215740811264 has 1536 divisors, whose sum is σ = 90172293120000. Its totient is φ = 5325801062400.

The previous prime is 22215740811263. The next prime is 22215740811311. The reversal of 22215740811264 is 46211804751222.

22215740811264 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 574 + 0 + 8 + 1 + 12 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (22215740811263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2712209409 + ... + 2712217599.

It is an arithmetic number, because the mean of its divisors is an integer number (58705920000).

Almost surely, 2^{22215740811264} is an apocalyptic number.

22215740811264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22215740811264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45086146560000).

22215740811264 is an abundant number, since it is smaller than the sum of its proper divisors (67956552308736).

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

22215740811264 is a wasteful number, since it uses less digits than its factorization.

22215740811264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8267 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 22215740811264 in words is "twenty-two trillion, two hundred fifteen billion, seven hundred forty million, eight hundred eleven thousand, two hundred sixty-four".