23222504929104 has 480 divisors, whose sum is σ = 76331048250240. Its totient is φ = 6718423744512.

The previous prime is 23222504929067. The next prime is 23222504929153. The reversal of 23222504929104 is 40192940522232.

23222504929104 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 2 + 50 + 492 + 9 + 104 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 23222504929104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1780450807 + ... + 1780463849.

It is an arithmetic number, because the mean of its divisors is an integer number (159023017188).

Almost surely, 2^{23222504929104} is an apocalyptic number.

23222504929104 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 23222504929104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38165524125120).

23222504929104 is an abundant number, since it is smaller than the sum of its proper divisors (53108543321136).

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

23222504929104 is a wasteful number, since it uses less digits than its factorization.

23222504929104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14204 (or 14175 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 23222504929104 in words is "twenty-three trillion, two hundred twenty-two billion, five hundred four million, nine hundred twenty-nine thousand, one hundred four".