11746912320 has 504 divisors, whose sum is σ = 47846257368. Its totient is φ = 2627665920.

The previous prime is 11746912277. The next prime is 11746912339. The reversal of 11746912320 is 2321964711.

It can be written as a sum of positive squares in 4 ways, for example, as 371409984 + 11375502336 = 19272^2 + 106656^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4528944 + ... + 4531536.

Almost surely, 2^11746912320 is an apocalyptic number.

11746912320 is a gapful number since it is divisible by the number (10) 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 11746912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23923128684).

11746912320 is an abundant number, since it is smaller than the sum of its proper divisors (36099345048).

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

11746912320 is a wasteful number, since it uses less digits than its factorization.

11746912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11746912320 in words is "eleven billion, seven hundred forty-six million, nine hundred twelve thousand, three hundred twenty".