21934111804416 has 792 divisors, whose sum is σ = 79078986894960. Its totient is φ = 5817301991424.

The previous prime is 21934111804321. The next prime is 21934111804427. The reversal of 21934111804416 is 61440811143912.

21934111804416 is a `hidden beast` number, since 2 + 1 + 9 + 3 + 411 + 180 + 44 + 16 = 666.

It is a super-2 number, since 2×21934111804416² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 560396175 + ... + 560435313.

Almost surely, 2^{21934111804416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21934111804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39539493447480).

21934111804416 is an abundant number, since it is smaller than the sum of its proper divisors (57144875090544).

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

21934111804416 is a wasteful number, since it uses less digits than its factorization.

21934111804416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39269 (or 39241 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 21934111804416 in words is "twenty-one trillion, nine hundred thirty-four billion, one hundred eleven million, eight hundred four thousand, four hundred sixteen".