11532614304 has 96 divisors (see below), whose sum is σ = 30822120000. Its totient is φ = 3775084544.

The previous prime is 11532614293. The next prime is 11532614321. The reversal of 11532614304 is 40341623511.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1268527 + ... + 1277585.

It is an arithmetic number, because the mean of its divisors is an integer number (321063750).

Almost surely, 2^11532614304 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 11532614304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15411060000).

11532614304 is an abundant number, since it is smaller than the sum of its proper divisors (19289505696).

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

11532614304 is a wasteful number, since it uses less digits than its factorization.

11532614304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9310 (or 9302 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 11532614304 in words is "eleven billion, five hundred thirty-two million, six hundred fourteen thousand, three hundred four".