22405502304 has 72 divisors (see below), whose sum is σ = 63857921400. Its totient is φ = 7451824128.

The previous prime is 22405502269. The next prime is 22405502321. The reversal of 22405502304 is 40320550422.

It is a happy number.

22405502304 is a `hidden beast` number, since 22 + 405 + 5 + 0 + 230 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42679 + ... + 215945.

It is an arithmetic number, because the mean of its divisors is an integer number (886915575).

Almost surely, 2^22405502304 is an apocalyptic number.

22405502304 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 22405502304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31928960700).

22405502304 is an abundant number, since it is smaller than the sum of its proper divisors (41452419096).

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

22405502304 is a wasteful number, since it uses less digits than its factorization.

22405502304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173732 (or 173721 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 22405502304 in words is "twenty-two billion, four hundred five million, five hundred two thousand, three hundred four".