117641160000 has 2520 divisors, whose sum is σ = 576220925280. Its totient is φ = 23514624000.

The previous prime is 117641159983. The next prime is 117641160001. The reversal of 117641160000 is 61146711.

117641160000 is a `hidden beast` number, since 1 + 1 + 7 + 641 + 16 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×117641160000² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (117641160001) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 6191639991 + ... + 6191640009.

Almost surely, 2^117641160000 is an apocalyptic number.

117641160000 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 117641160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288110462640).

117641160000 is an abundant number, since it is smaller than the sum of its proper divisors (458579765280).

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

117641160000 is an equidigital number, since it uses as much as digits as its factorization.

117641160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 117641160000 in words is "one hundred seventeen billion, six hundred forty-one million, one hundred sixty thousand".