22463301616512 has 256 divisors, whose sum is σ = 62959871116800. Its totient is φ = 7076610662400.

The previous prime is 22463301616507. The next prime is 22463301616549. The reversal of 22463301616512 is 21561610336422.

It is a super-2 number, since 2×22463301616512² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6867409437 + ... + 6867412707.

It is an arithmetic number, because the mean of its divisors is an integer number (245936996550).

Almost surely, 2^{22463301616512} 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 22463301616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31479935558400).

22463301616512 is an abundant number, since it is smaller than the sum of its proper divisors (40496569500288).

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

22463301616512 is a wasteful number, since it uses less digits than its factorization.

22463301616512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 22463301616512 in words is "twenty-two trillion, four hundred sixty-three billion, three hundred one million, six hundred sixteen thousand, five hundred twelve".