11848178160 has 480 divisors, whose sum is σ = 49721817600. Its totient is φ = 2461612032.

The previous prime is 11848178131. The next prime is 11848178183. The reversal of 11848178160 is 6187184811.

11848178160 is a `hidden beast` number, since 1 + 1 + 8 + 481 + 7 + 8 + 160 = 666.

It is a super-2 number, since 2×11848178160² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4388491 + ... + 4391189.

It is an arithmetic number, because the mean of its divisors is an integer number (103587120).

Almost surely, 2^11848178160 is an apocalyptic number.

11848178160 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 11848178160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24860908800).

11848178160 is an abundant number, since it is smaller than the sum of its proper divisors (37873639440).

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

11848178160 is a wasteful number, since it uses less digits than its factorization.

11848178160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 11848178160 in words is "eleven billion, eight hundred forty-eight million, one hundred seventy-eight thousand, one hundred sixty".