11631532416 has 128 divisors (see below), whose sum is σ = 35545090560. Its totient is φ = 3301171200.

The previous prime is 11631532337. The next prime is 11631532439. The reversal of 11631532416 is 61423513611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 391560 + ... + 420216.

It is an arithmetic number, because the mean of its divisors is an integer number (277696020).

Almost surely, 2^11631532416 is an apocalyptic number.

11631532416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11631532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772545280).

11631532416 is an abundant number, since it is smaller than the sum of its proper divisors (23913558144).

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

11631532416 is a wasteful number, since it uses less digits than its factorization.

11631532416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28832 (or 28820 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The spelling of 11631532416 in words is "eleven billion, six hundred thirty-one million, five hundred thirty-two thousand, four hundred sixteen".