11745847130640 has 640 divisors, whose sum is σ = 45736718376960. Its totient is φ = 2431379275776.

The previous prime is 11745847130639. The next prime is 11745847130707. The reversal of 11745847130640 is 4603174854711.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1507226584 + ... + 1507234376.

It is an arithmetic number, because the mean of its divisors is an integer number (71463622464).

Almost surely, 2^{11745847130640} is an apocalyptic number.

11745847130640 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 11745847130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22868359188480).

11745847130640 is an abundant number, since it is smaller than the sum of its proper divisors (33990871246320).

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

11745847130640 is a wasteful number, since it uses less digits than its factorization.

11745847130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9911 (or 9905 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 11745847130640 in words is "eleven trillion, seven hundred forty-five billion, eight hundred forty-seven million, one hundred thirty thousand, six hundred forty".