22465361664 has 432 divisors, whose sum is σ = 71871945600. Its totient is φ = 6978244608.

The previous prime is 22465361663. The next prime is 22465361687. The reversal of 22465361664 is 46616356422.

It is a happy number.

22465361664 is a `hidden beast` number, since 2 + 2 + 46 + 536 + 16 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22465361663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98101902 + ... + 98102130.

Almost surely, 2^22465361664 is an apocalyptic number.

22465361664 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 22465361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35935972800).

22465361664 is an abundant number, since it is smaller than the sum of its proper divisors (49406583936).

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

22465361664 is an equidigital number, since it uses as much as digits as its factorization.

22465361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 336 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 22465361664 in words is "twenty-two billion, four hundred sixty-five million, three hundred sixty-one thousand, six hundred sixty-four".