11456847360 has 560 divisors, whose sum is σ = 47122850016. Its totient is φ = 2615721984.

The previous prime is 11456847359. The next prime is 11456847361. The reversal of 11456847360 is 6374865411.

11456847360 is a `hidden beast` number, since 1 + 14 + 568 + 4 + 73 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11456847359) and next prime (11456847361).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11456847361) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13063242 + ... + 13064118.

Almost surely, 2^11456847360 is an apocalyptic number.

11456847360 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 11456847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23561425008).

11456847360 is an abundant number, since it is smaller than the sum of its proper divisors (35666002656).

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

11456847360 is an frugal number, since it uses more digits than its factorization.

11456847360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 11456847360 in words is "eleven billion, four hundred fifty-six million, eight hundred forty-seven thousand, three hundred sixty".