21463584768 has 130 divisors (see below), whose sum is σ = 64118935034. Its totient is φ = 7154417664.

The previous prime is 21463584743. The next prime is 21463584773. The reversal of 21463584768 is 86748536412.

It is a happy number.

21463584768 is a `hidden beast` number, since 214 + 6 + 358 + 4 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18011787264 + 3451797504 = 134208^2 + 58752^2 .

It is a super-2 number, since 2×21463584768² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 299430 + ... + 364122.

Almost surely, 2^21463584768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21463584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32059467517).

21463584768 is an abundant number, since it is smaller than the sum of its proper divisors (42655350266).

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

21463584768 is an frugal number, since it uses more digits than its factorization.

21463584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64729 (or 64698 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 21463584768 in words is "twenty-one billion, four hundred sixty-three million, five hundred eighty-four thousand, seven hundred sixty-eight".