21514456512 has 84 divisors (see below), whose sum is σ = 61721472696. Its totient is φ = 7165186560.

The previous prime is 21514456507. The next prime is 21514456529. The reversal of 21514456512 is 21565441512.

21514456512 is a `hidden beast` number, since 2 + 1 + 51 + 44 + 56 + 512 = 666.

It is a super-2 number, since 2×21514456512² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 664443 + ... + 696069.

Almost surely, 2^21514456512 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 21514456512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30860736348).

21514456512 is an abundant number, since it is smaller than the sum of its proper divisors (40207016184).

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

21514456512 is a wasteful number, since it uses less digits than its factorization.

21514456512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32826 (or 32813 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The spelling of 21514456512 in words is "twenty-one billion, five hundred fourteen million, four hundred fifty-six thousand, five hundred twelve".