117981646560 has 288 divisors, whose sum is σ = 417291769440. Its totient is φ = 30318833664.

The previous prime is 117981646493. The next prime is 117981646567. The reversal of 117981646560 is 65646189711.

117981646560 is a `hidden beast` number, since 1 + 1 + 79 + 8 + 1 + 6 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 117981646497 and 117981646506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117981646567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24510714 + ... + 24515526.

It is an arithmetic number, because the mean of its divisors is an integer number (1448929755).

Almost surely, 2^117981646560 is an apocalyptic number.

117981646560 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 117981646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208645884720).

117981646560 is an abundant number, since it is smaller than the sum of its proper divisors (299310122880).

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

117981646560 is a wasteful number, since it uses less digits than its factorization.

117981646560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 117981646560 in words is "one hundred seventeen billion, nine hundred eighty-one million, six hundred forty-six thousand, five hundred sixty".