216415705137112 has 128 divisors (see below), whose sum is σ = 440763955632000. Its totient is φ = 99025132953600.

The previous prime is 216415705137109. The next prime is 216415705137211. The reversal of 216415705137112 is 211731507514612.

It is a congruent number.

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, 18603596448 + ... + 18603608080.

It is an arithmetic number, because the mean of its divisors is an integer number (3443468403375).

Almost surely, 2^{216415705137112} 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 216415705137112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220381977816000).

216415705137112 is an abundant number, since it is smaller than the sum of its proper divisors (224348250494888).

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

216415705137112 is a wasteful number, since it uses less digits than its factorization.

216415705137112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14061 (or 14057 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 216415705137112 in words is "two hundred sixteen trillion, four hundred fifteen billion, seven hundred five million, one hundred thirty-seven thousand, one hundred twelve".