22452756480 has 1008 divisors, whose sum is σ = 99643503024. Its totient is φ = 4624220160.

The previous prime is 22452756407. The next prime is 22452756493. The reversal of 22452756480 is 8465725422.

22452756480 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 2 + 7 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198696904 + ... + 198697016.

Almost surely, 2^22452756480 is an apocalyptic number.

22452756480 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 22452756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49821751512).

22452756480 is an abundant number, since it is smaller than the sum of its proper divisors (77190746544).

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

22452756480 is a wasteful number, since it uses less digits than its factorization.

22452756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 22452756480 in words is "twenty-two billion, four hundred fifty-two million, seven hundred fifty-six thousand, four hundred eighty".