20413164416016 has 160 divisors (see below), whose sum is σ = 53480295792000. Its totient is φ = 6708449378304.

The previous prime is 20413164415999. The next prime is 20413164416063. The reversal of 20413164416016 is 61061446131402.

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, 7319168350 + ... + 7319171138.

It is an arithmetic number, because the mean of its divisors is an integer number (334251848700).

Almost surely, 2^{20413164416016} 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 20413164416016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26740147896000).

20413164416016 is an abundant number, since it is smaller than the sum of its proper divisors (33067131375984).

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

20413164416016 is a wasteful number, since it uses less digits than its factorization.

20413164416016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6041 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 20413164416016 in words is "twenty trillion, four hundred thirteen billion, one hundred sixty-four million, four hundred sixteen thousand, sixteen".