11614117680 has 480 divisors, whose sum is σ = 44276094720. Its totient is φ = 2703697920.

The previous prime is 11614117679. The next prime is 11614117699. The reversal of 11614117680 is 8671141611.

11614117680 is a `hidden beast` number, since 1 + 161 + 411 + 7 + 6 + 80 = 666.

It is a super-3 number, since 3×11614117680³ (a number of 31 digits) contains 333 as substring.

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

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, 22817266 + ... + 22817774.

It is an arithmetic number, because the mean of its divisors is an integer number (92241864).

Almost surely, 2^11614117680 is an apocalyptic number.

11614117680 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 11614117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138047360).

11614117680 is an abundant number, since it is smaller than the sum of its proper divisors (32661977040).

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

11614117680 is a wasteful number, since it uses less digits than its factorization.

11614117680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 11614117680 in words is "eleven billion, six hundred fourteen million, one hundred seventeen thousand, six hundred eighty".