117901288132992 has 6144 divisors, whose sum is σ = 519006942720000. Its totient is φ = 26222003748864.

The previous prime is 117901288132951. The next prime is 117901288132993. The reversal of 117901288132992 is 299231882109711.

117901288132992 is a `hidden beast` number, since 1 + 17 + 90 + 128 + 8 + 1 + 329 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117901288132993) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1324733574484 + ... + 1324733574572.

It is an arithmetic number, because the mean of its divisors is an integer number (84473786250).

Almost surely, 2^{117901288132992} is an apocalyptic number.

117901288132992 is a gapful number since it is divisible by the number (12) 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 117901288132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259503471360000).

117901288132992 is an abundant number, since it is smaller than the sum of its proper divisors (401105654587008).

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

117901288132992 is a wasteful number, since it uses less digits than its factorization.

117901288132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 63.

The spelling of 117901288132992 in words is "one hundred seventeen trillion, nine hundred one billion, two hundred eighty-eight million, one hundred thirty-two thousand, nine hundred ninety-two".