22521450748608 has 672 divisors, whose sum is σ = 78779409745920. Its totient is φ = 6180084449280.

The previous prime is 22521450748591. The next prime is 22521450748633. The reversal of 22521450748608 is 80684705412522.

22521450748608 is a `hidden beast` number, since 2 + 2 + 5 + 21 + 4 + 5 + 0 + 7 + 4 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×22521450748608² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1963332313 + ... + 1963343783.

Almost surely, 2^{22521450748608} is an apocalyptic number.

22521450748608 is a gapful number since it is divisible by the number (28) 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 22521450748608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39389704872960).

22521450748608 is an abundant number, since it is smaller than the sum of its proper divisors (56257958997312).

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

22521450748608 is a wasteful number, since it uses less digits than its factorization.

22521450748608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11750 (or 11705 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 22521450748608 in words is "twenty-two trillion, five hundred twenty-one billion, four hundred fifty million, seven hundred forty-eight thousand, six hundred eight".