22323265520640 has 1056 divisors, whose sum is σ = 88118997652224. Its totient is φ = 4792673894400.

The previous prime is 22323265520603. The next prime is 22323265520711. The reversal of 22323265520640 is 4602556232322.

It is a happy number.

It is a super-3 number, since 3×22323265520640³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 22323265520592 and 22323265520601.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7689721429 + ... + 7689724331.

It is an arithmetic number, because the mean of its divisors is an integer number (83446020504).

Almost surely, 2^{22323265520640} is an apocalyptic number.

22323265520640 is a gapful number since it is divisible by the number (20) 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 22323265520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44059498826112).

22323265520640 is an abundant number, since it is smaller than the sum of its proper divisors (65795732131584).

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

22323265520640 is a wasteful number, since it uses less digits than its factorization.

22323265520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 22323265520640 in words is "twenty-two trillion, three hundred twenty-three billion, two hundred sixty-five million, five hundred twenty thousand, six hundred forty".