22456465920 has 720 divisors, whose sum is σ = 92780633088. Its totient is φ = 5106032640.

The previous prime is 22456465903. The next prime is 22456466041. The reversal of 22456465920 is 2956465422.

22456465920 is a `hidden beast` number, since 2 + 2 + 4 + 56 + 4 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×22456465920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117573025 + ... + 117573215.

Almost surely, 2^22456465920 is an apocalyptic number.

22456465920 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 22456465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46390316544).

22456465920 is an abundant number, since it is smaller than the sum of its proper divisors (70324167168).

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

22456465920 is an frugal number, since it uses more digits than its factorization.

22456465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 22456465920 in words is "twenty-two billion, four hundred fifty-six million, four hundred sixty-five thousand, nine hundred twenty".