11547330432 has 256 divisors, whose sum is σ = 34978003200. Its totient is φ = 3343155200.

The previous prime is 11547330391. The next prime is 11547330433. The reversal of 11547330432 is 23403374511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11547330393 and 11547330402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11547330433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13106632 + ... + 13107512.

It is an arithmetic number, because the mean of its divisors is an integer number (136632825).

Almost surely, 2^11547330432 is an apocalyptic number.

11547330432 is a gapful number since it is divisible by the number (12) 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 11547330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17489001600).

11547330432 is an abundant number, since it is smaller than the sum of its proper divisors (23430672768).

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

11547330432 is a wasteful number, since it uses less digits than its factorization.

11547330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 11547330432 in words is "eleven billion, five hundred forty-seven million, three hundred thirty thousand, four hundred thirty-two".