11633115416 has 64 divisors (see below), whose sum is σ = 23859360000. Its totient is φ = 5284944000.

The previous prime is 11633115401. The next prime is 11633115433. The reversal of 11633115416 is 61451133611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7759835 + ... + 7761333.

It is an arithmetic number, because the mean of its divisors is an integer number (372802500).

Almost surely, 2^11633115416 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 11633115416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11929680000).

11633115416 is an abundant number, since it is smaller than the sum of its proper divisors (12226244584).

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

11633115416 is a wasteful number, since it uses less digits than its factorization.

11633115416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2636 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The spelling of 11633115416 in words is "eleven billion, six hundred thirty-three million, one hundred fifteen thousand, four hundred sixteen".