21617813054016 has 189 divisors, whose sum is σ = 64782450155059. Its totient is φ = 6891817734912.

The previous prime is 21617813054003. The next prime is 21617813054029. The reversal of 21617813054016 is 61045031871612.

The square root of 21617813054016 is 4649496.

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

21617813054016 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 78 + 1 + 30 + 540 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (21617813054003) and next prime (21617813054029).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2566517581 + ... + 2566526003.

Almost surely, 2^{21617813054016} is an apocalyptic number.

21617813054016 is the 4649496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21617813054016

21617813054016 is an abundant number, since it is smaller than the sum of its proper divisors (43164637101043).

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

21617813054016 is an frugal number, since it uses more digits than its factorization.

21617813054016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16910 (or 8451 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 21617813054016 in words is "twenty-one trillion, six hundred seventeen billion, eight hundred thirteen million, fifty-four thousand, sixteen".