11432757312 has 336 divisors, whose sum is σ = 36486096192. Its totient is φ = 3536732160.

The previous prime is 11432757257. The next prime is 11432757353. The reversal of 11432757312 is 21375723411.

11432757312 is a `hidden beast` number, since 1 + 14 + 327 + 5 + 7 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21943612 + ... + 21944132.

It is an arithmetic number, because the mean of its divisors is an integer number (108589572).

Almost surely, 2^11432757312 is an apocalyptic number.

11432757312 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 11432757312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18243048096).

11432757312 is an abundant number, since it is smaller than the sum of its proper divisors (25053338880).

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

11432757312 is an equidigital number, since it uses as much as digits as its factorization.

11432757312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 626 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The spelling of 11432757312 in words is "eleven billion, four hundred thirty-two million, seven hundred fifty-seven thousand, three hundred twelve".