117198447361200 has 480 divisors, whose sum is σ = 445278861043200. Its totient is φ = 29191010688000.

The previous prime is 117198447361189. The next prime is 117198447361267. The reversal of 117198447361200 is 2163744891711.

117198447361200 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 98 + 4 + 473 + 61 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10547070 + ... + 18591330.

It is an arithmetic number, because the mean of its divisors is an integer number (927664293840).

Almost surely, 2^{117198447361200} is an apocalyptic number.

117198447361200 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 117198447361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222639430521600).

117198447361200 is an abundant number, since it is smaller than the sum of its proper divisors (328080413682000).

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

117198447361200 is a wasteful number, since it uses less digits than its factorization.

117198447361200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044378 (or 8044361 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 117198447361200 in words is "one hundred seventeen trillion, one hundred ninety-eight billion, four hundred forty-seven million, three hundred sixty-one thousand, two hundred".