115668461700000 has 3888 divisors, whose sum is σ = 494714770228224. Its totient is φ = 26558928000000.

The previous prime is 115668461699963. The next prime is 115668461700013. The reversal of 115668461700000 is 7164866511.

115668461700000 is a `hidden beast` number, since 1 + 1 + 566 + 84 + 6 + 1 + 7 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 2461031099977 + ... + 2461031100023.

It is an arithmetic number, because the mean of its divisors is an integer number (127241453248).

Almost surely, 2^{115668461700000} is an apocalyptic number.

115668461700000 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 115668461700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247357385114112).

115668461700000 is an abundant number, since it is smaller than the sum of its proper divisors (379046308528224).

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

115668461700000 is an frugal number, since it uses more digits than its factorization.

115668461700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 115668461700000 in words is "one hundred fifteen trillion, six hundred sixty-eight billion, four hundred sixty-one million, seven hundred thousand".