11747313792 has 256 divisors, whose sum is σ = 35798083200. Its totient is φ = 3790209024.

The previous prime is 11747313763. The next prime is 11747313821. The reversal of 11747313792 is 29731374711.

It is an interprime number because it is at equal distance from previous prime (11747313763) and next prime (11747313821).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20359008 + ... + 20359584.

Almost surely, 2^11747313792 is an apocalyptic number.

11747313792 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 11747313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17899041600).

11747313792 is an abundant number, since it is smaller than the sum of its proper divisors (24050769408).

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

11747313792 is a wasteful number, since it uses less digits than its factorization.

11747313792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 762 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The spelling of 11747313792 in words is "eleven billion, seven hundred forty-seven million, three hundred thirteen thousand, seven hundred ninety-two".