11747856384 has 624 divisors, whose sum is σ = 40787248320. Its totient is φ = 3344302080.

The previous prime is 11747856359. The next prime is 11747856401. The reversal of 11747856384 is 48365874711.

11747856384 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 78 + 563 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11747856384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317509614 + ... + 317509650.

It is an arithmetic number, because the mean of its divisors is an integer number (65364180).

Almost surely, 2^11747856384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11747856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20393624160).

11747856384 is an abundant number, since it is smaller than the sum of its proper divisors (29039391936).

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

11747856384 is an equidigital number, since it uses as much as digits as its factorization.

11747856384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 11747856384 in words is "eleven billion, seven hundred forty-seven million, eight hundred fifty-six thousand, three hundred eighty-four".