117649885510584 has 192 divisors, whose sum is σ = 368778541747200. Its totient is φ = 33187443524352.

The previous prime is 117649885510571. The next prime is 117649885510603. The reversal of 117649885510584 is 485015588946711.

117649885510584 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 498 + 8 + 5 + 51 + 0 + 5 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473032619 + ... + 1473112485.

It is an arithmetic number, because the mean of its divisors is an integer number (1920721571600).

Almost surely, 2^{117649885510584} is an apocalyptic number.

117649885510584 is a gapful number since it is divisible by the number (14) 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 117649885510584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184389270873600).

117649885510584 is an abundant number, since it is smaller than the sum of its proper divisors (251128656236616).

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

117649885510584 is a wasteful number, since it uses less digits than its factorization.

117649885510584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116962 (or 116955 counting only the distinct ones).

The product of its (nonzero) digits is 387072000, while the sum is 72.

The spelling of 117649885510584 in words is "one hundred seventeen trillion, six hundred forty-nine billion, eight hundred eighty-five million, five hundred ten thousand, five hundred eighty-four".