216536136192 has 400 divisors, whose sum is σ = 687384823752. Its totient is φ = 67629219840.

The previous prime is 216536136169. The next prime is 216536136211. The reversal of 216536136192 is 291631635612.

216536136192 is a `hidden beast` number, since 2 + 16 + 5 + 3 + 6 + 13 + 619 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 209822628096 + 6713508096 = 458064^2 + 81936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 198111198 + ... + 198112290.

Almost surely, 2^216536136192 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 216536136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343692411876).

216536136192 is an abundant number, since it is smaller than the sum of its proper divisors (470848687560).

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

216536136192 is a wasteful number, since it uses less digits than its factorization.

216536136192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1396 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 216536136192 in words is "two hundred sixteen billion, five hundred thirty-six million, one hundred thirty-six thousand, one hundred ninety-two".