21616414054456 has 128 divisors (see below), whose sum is σ = 46974281840640. Its totient is φ = 9252503769600.

The previous prime is 21616414054447. The next prime is 21616414054471. The reversal of 21616414054456 is 65445041461612.

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 31 ways as a sum of consecutive naturals, for example, 5876491 + ... + 8818501.

It is an arithmetic number, because the mean of its divisors is an integer number (366986576880).

Almost surely, 2^{21616414054456} is an apocalyptic number.

21616414054456 is a gapful number since it is divisible by the number (26) 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 21616414054456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23487140920320).

21616414054456 is an abundant number, since it is smaller than the sum of its proper divisors (25357867786184).

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

21616414054456 is a wasteful number, since it uses less digits than its factorization.

21616414054456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942157 (or 2942153 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

The spelling of 21616414054456 in words is "twenty-one trillion, six hundred sixteen billion, four hundred fourteen million, fifty-four thousand, four hundred fifty-six".