11418644160 has 1008 divisors, whose sum is σ = 51266482176. Its totient is φ = 2280960000.

The previous prime is 11418644143. The next prime is 11418644161. The reversal of 11418644160 is 6144681411.

It is a happy number.

11418644160 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 8 + 644 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (11418644161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75620085 + ... + 75620235.

Almost surely, 2^11418644160 is an apocalyptic number.

11418644160 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 11418644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25633241088).

11418644160 is an abundant number, since it is smaller than the sum of its proper divisors (39847838016).

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

11418644160 is a wasteful number, since it uses less digits than its factorization.

11418644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11418644160 in words is "eleven billion, four hundred eighteen million, six hundred forty-four thousand, one hundred sixty".