11724717356352 has 2016 divisors, whose sum is σ = 50438882632320. Its totient is φ = 2645342945280.

The previous prime is 11724717356327. The next prime is 11724717356353. The reversal of 11724717356352 is 25365371742711.

11724717356352 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 4 + 7 + 1 + 73 + 563 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (11724717356353) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1852535524 + ... + 1852541852.

It is an arithmetic number, because the mean of its divisors is an integer number (25019287020).

Almost surely, 2^{11724717356352} is an apocalyptic number.

11724717356352 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 11724717356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25219441316160).

11724717356352 is an abundant number, since it is smaller than the sum of its proper divisors (38714165275968).

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

11724717356352 is a wasteful number, since it uses less digits than its factorization.

11724717356352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6411 (or 6382 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The spelling of 11724717356352 in words is "eleven trillion, seven hundred twenty-four billion, seven hundred seventeen million, three hundred fifty-six thousand, three hundred fifty-two".