21700825344 has 567 divisors, whose sum is σ = 73763574087. Its totient is φ = 6363878400.

The previous prime is 21700825339. The next prime is 21700825379. The reversal of 21700825344 is 44352800712.

It is a happy number.

The square root of 21700825344 is 147312.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×21700825344² (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 junction number, because it is equal to n+sod(n) for n = 21700825299 and 21700825308.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 700026609 + ... + 700026639.

Almost surely, 2^21700825344 is an apocalyptic number.

21700825344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21700825344 is the 147312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21700825344

21700825344 is an abundant number, since it is smaller than the sum of its proper divisors (52062748743).

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

21700825344 is an frugal number, since it uses more digits than its factorization.

21700825344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 21700825344 by its sum of digits (36), we get a square (781229712384 = 883872²).

21700825344 divided by its sum of digits (36) gives a square (602800704 = 24552²).

The spelling of 21700825344 in words is "twenty-one billion, seven hundred million, eight hundred twenty-five thousand, three hundred forty-four".