11634637716 has 192 divisors, whose sum is σ = 34517011200. Its totient is φ = 3362591232.

The previous prime is 11634637709. The next prime is 11634637717. The reversal of 11634637716 is 61773643611.

11634637716 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 4 + 637 + 7 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11634637717) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1502631 + ... + 1510353.

It is an arithmetic number, because the mean of its divisors is an integer number (179776100).

Almost surely, 2^11634637716 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 11634637716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17258505600).

11634637716 is an abundant number, since it is smaller than the sum of its proper divisors (22882373484).

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

11634637716 is a wasteful number, since it uses less digits than its factorization.

11634637716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7815 (or 7807 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 11634637716 in words is "eleven billion, six hundred thirty-four million, six hundred thirty-seven thousand, seven hundred sixteen".