117244158328800 has 720 divisors, whose sum is σ = 450692675072640. Its totient is φ = 29578608829440.

The previous prime is 117244158328793. The next prime is 117244158328861. The reversal of 117244158328800 is 8823851442711.

117244158328800 is a `hidden beast` number, since 1 + 1 + 72 + 4 + 415 + 83 + 2 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 895016907 + ... + 895147893.

It is an arithmetic number, because the mean of its divisors is an integer number (625962048712).

Almost surely, 2^{117244158328800} is an apocalyptic number.

117244158328800 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 117244158328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225346337536320).

117244158328800 is an abundant number, since it is smaller than the sum of its proper divisors (333448516743840).

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

117244158328800 is a wasteful number, since it uses less digits than its factorization.

117244158328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131765 (or 131743 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 117244158328800 in words is "one hundred seventeen trillion, two hundred forty-four billion, one hundred fifty-eight million, three hundred twenty-eight thousand, eight hundred".