11749159296 has 256 divisors, whose sum is σ = 40999104000. Its totient is φ = 3240953856.

The previous prime is 11749159291. The next prime is 11749159327. The reversal of 11749159296 is 69295194711.

It is a happy number.

11749159296 is a `hidden beast` number, since 1 + 1 + 7 + 49 + 1 + 592 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11749159291) 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, 693195 + ... + 709941.

It is an arithmetic number, because the mean of its divisors is an integer number (160152750).

Almost surely, 2^11749159296 is an apocalyptic number.

11749159296 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 11749159296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20499552000).

11749159296 is an abundant number, since it is smaller than the sum of its proper divisors (29249944704).

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

11749159296 is a wasteful number, since it uses less digits than its factorization.

11749159296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16806 (or 16788 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The spelling of 11749159296 in words is "eleven billion, seven hundred forty-nine million, one hundred fifty-nine thousand, two hundred ninety-six".