11713645440 has 512 divisors, whose sum is σ = 47765376000. Its totient is φ = 2657525760.

The previous prime is 11713645423. The next prime is 11713645441. The reversal of 11713645440 is 4454631711.

11713645440 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 3 + 645 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11713645395 and 11713645404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11713645441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21651570 + ... + 21652110.

It is an arithmetic number, because the mean of its divisors is an integer number (93291750).

Almost surely, 2^11713645440 is an apocalyptic number.

11713645440 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 11713645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23882688000).

11713645440 is an abundant number, since it is smaller than the sum of its proper divisors (36051730560).

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

11713645440 is a wasteful number, since it uses less digits than its factorization.

11713645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11713645440 in words is "eleven billion, seven hundred thirteen million, six hundred forty-five thousand, four hundred forty".