63161216136 has 144 divisors (see below), whose sum is σ = 179170009200. Its totient is φ = 20099242944.

The previous prime is 63161216099. The next prime is 63161216137.

63161216136 is a `hidden beast` number, since 6 + 3 + 1 + 612 + 1 + 6 + 1 + 36 = 666.

63161216136 is nontrivially palindromic in base 10.

63161216136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 63161216136.

It is not an unprimeable number, because it can be changed into a prime (63161216137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24489295 + ... + 24491873.

It is an arithmetic number, because the mean of its divisors is an integer number (1244236175).

Almost surely, 2^63161216136 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 63161216136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89585004600).

63161216136 is an abundant number, since it is smaller than the sum of its proper divisors (116008793064).

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

63161216136 is a wasteful number, since it uses less digits than its factorization.

63161216136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3250 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The spelling of 63161216136 in words is "sixty-three billion, one hundred sixty-one million, two hundred sixteen thousand, one hundred thirty-six".