21464735292 has 432 divisors, whose sum is σ = 76008022272. Its totient is φ = 5143357440.

The previous prime is 21464735251. The next prime is 21464735311. The reversal of 21464735292 is 29253746412.

21464735292 is a `hidden beast` number, since 2 + 1 + 46 + 473 + 52 + 92 = 666.

It is a super-2 number, since 2×21464735292² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12647788 + ... + 12649484.

It is an arithmetic number, because the mean of its divisors is an integer number (175944496).

Almost surely, 2^21464735292 is an apocalyptic number.

21464735292 is a gapful number since it is divisible by the number (22) 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 21464735292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38004011136).

21464735292 is an abundant number, since it is smaller than the sum of its proper divisors (54543286980).

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

21464735292 is a wasteful number, since it uses less digits than its factorization.

21464735292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1733 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 21464735292 in words is "twenty-one billion, four hundred sixty-four million, seven hundred thirty-five thousand, two hundred ninety-two".