22339954465920 has 1152 divisors, whose sum is σ = 99663448464000. Its totient is φ = 4713454706688.

The previous prime is 22339954465897. The next prime is 22339954466029. The reversal of 22339954465920 is 2956445993322.

It is a happy number.

22339954465920 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 9 + 9 + 544 + 65 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143017621 + ... + 143173739.

It is an arithmetic number, because the mean of its divisors is an integer number (86513410125).

Almost surely, 2^{22339954465920} is an apocalyptic number.

22339954465920 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 22339954465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49831724232000).

22339954465920 is an abundant number, since it is smaller than the sum of its proper divisors (77323493998080).

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

22339954465920 is a wasteful number, since it uses less digits than its factorization.

22339954465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156187 (or 156149 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 22339954465920 in words is "twenty-two trillion, three hundred thirty-nine billion, nine hundred fifty-four million, four hundred sixty-five thousand, nine hundred twenty".