21548015456256 has 195 divisors, whose sum is σ = 64378151196051. Its totient is φ = 7181780557824.

The previous prime is 21548015456189. The next prime is 21548015456299. The reversal of 21548015456256 is 65265451084512.

The square root of 21548015456256 is 4641984.

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

21548015456256 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 8 + 0 + 1 + 5 + 4 + 5 + 625 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2673778755 + ... + 2673786813.

Almost surely, 2^{21548015456256} is an apocalyptic number.

21548015456256 is the 4641984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21548015456256

21548015456256 is an abundant number, since it is smaller than the sum of its proper divisors (42830135739795).

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

21548015456256 is an frugal number, since it uses more digits than its factorization.

21548015456256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16154 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 21548015456256 in words is "twenty-one trillion, five hundred forty-eight billion, fifteen million, four hundred fifty-six thousand, two hundred fifty-six".