22450427664 has 320 divisors, whose sum is σ = 76269404160. Its totient is φ = 5534023680.

The previous prime is 22450427653. The next prime is 22450427669. The reversal of 22450427664 is 46672405422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (22450427669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3361032 + ... + 3367704.

It is an arithmetic number, because the mean of its divisors is an integer number (238341888).

Almost surely, 2^22450427664 is an apocalyptic number.

22450427664 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 22450427664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38134702080).

22450427664 is an abundant number, since it is smaller than the sum of its proper divisors (53818976496).

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

22450427664 is a wasteful number, since it uses less digits than its factorization.

22450427664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 22450427664 in words is "twenty-two billion, four hundred fifty million, four hundred twenty-seven thousand, six hundred sixty-four".