11618316648000 has 560 divisors, whose sum is σ = 44368109879808. Its totient is φ = 2998270080000.

The previous prime is 11618316647983. The next prime is 11618316648013. The reversal of 11618316648000 is 84661381611.

11618316648000 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 8 + 3 + 166 + 480 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19798815 + ... + 20377185.

Almost surely, 2^{11618316648000} is an apocalyptic number.

11618316648000 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 11618316648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22184054939904).

11618316648000 is an abundant number, since it is smaller than the sum of its proper divisors (32749793231808).

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

11618316648000 is an equidigital number, since it uses as much as digits as its factorization.

11618316648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578441 (or 578412 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11618316648000 in words is "eleven trillion, six hundred eighteen billion, three hundred sixteen million, six hundred forty-eight thousand".