22323452610816 has 1728 divisors, whose sum is σ = 81106757222400. Its totient is φ = 5764907925504.

The previous prime is 22323452610803. The next prime is 22323452610863. The reversal of 22323452610816 is 61801625432322.

22323452610816 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 3 + 4 + 526 + 108 + 16 = 666.

It is a super-3 number, since 3×22323452610816³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162944909500 + ... + 162944909636.

It is an arithmetic number, because the mean of its divisors is an integer number (46936780800).

Almost surely, 2^{22323452610816} 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 22323452610816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40553378611200).

22323452610816 is an abundant number, since it is smaller than the sum of its proper divisors (58783304611584).

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

22323452610816 is a wasteful number, since it uses less digits than its factorization.

22323452610816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 22323452610816 in words is "twenty-two trillion, three hundred twenty-three billion, four hundred fifty-two million, six hundred ten thousand, eight hundred sixteen".