117878848214400 has 3456 divisors, whose sum is σ = 544597543526400. Its totient is φ = 24650850631680.

The previous prime is 117878848214377. The next prime is 117878848214401. The reversal of 117878848214400 is 4412848878711.

It is a happy number.

117878848214400 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 7 + 8 + 8 + 4 + 8 + 214 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 (117878848214401) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 116827401096 + ... + 116827402104.

Almost surely, 2^{117878848214400} is an apocalyptic number.

117878848214400 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 117878848214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272298771763200).

117878848214400 is an abundant number, since it is smaller than the sum of its proper divisors (426718695312000).

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

117878848214400 is a wasteful number, since it uses less digits than its factorization.

117878848214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 25690112, while the sum is 63.

The spelling of 117878848214400 in words is "one hundred seventeen trillion, eight hundred seventy-eight billion, eight hundred forty-eight million, two hundred fourteen thousand, four hundred".