21456114624 has 448 divisors, whose sum is σ = 74380953600. Its totient is φ = 6013025280.

The previous prime is 21456114611. The next prime is 21456114671. The reversal of 21456114624 is 42641165412.

21456114624 is a `hidden beast` number, since 2 + 14 + 5 + 6 + 1 + 14 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×21456114624² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59766157 + ... + 59766515.

Almost surely, 2^21456114624 is an apocalyptic number.

21456114624 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 21456114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37190476800).

21456114624 is an abundant number, since it is smaller than the sum of its proper divisors (52924838976).

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

21456114624 is an frugal number, since it uses more digits than its factorization.

21456114624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 432 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 21456114624 in words is "twenty-one billion, four hundred fifty-six million, one hundred fourteen thousand, six hundred twenty-four".