11614112640 has 768 divisors, whose sum is σ = 46097553600. Its totient is φ = 2760376320.

The previous prime is 11614112633. The next prime is 11614112651. The reversal of 11614112640 is 4621141611.

11614112640 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 4 + 1 + 12 + 640 = 666.

It is a super-2 number, since 2×11614112640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 119733072 + ... + 119733168.

Almost surely, 2^11614112640 is an apocalyptic number.

11614112640 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 11614112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23048776800).

11614112640 is an abundant number, since it is smaller than the sum of its proper divisors (34483440960).

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

11614112640 is a wasteful number, since it uses less digits than its factorization.

11614112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11614112640 in words is "eleven billion, six hundred fourteen million, one hundred twelve thousand, six hundred forty".