21654113350416 has 160 divisors (see below), whose sum is σ = 58373745745920. Its totient is φ = 6910473512448.

The previous prime is 21654113350391. The next prime is 21654113350423. The reversal of 21654113350416 is 61405331145612.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107825425 + ... + 108026063.

It is an arithmetic number, because the mean of its divisors is an integer number (364835910912).

Almost surely, 2^{21654113350416} 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 21654113350416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29186872872960).

21654113350416 is an abundant number, since it is smaller than the sum of its proper divisors (36719632395504).

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

21654113350416 is a wasteful number, since it uses less digits than its factorization.

21654113350416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201661 (or 201655 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 21654113350416 in words is "twenty-one trillion, six hundred fifty-four billion, one hundred thirteen million, three hundred fifty thousand, four hundred sixteen".