113064349161600 has 288 divisors, whose sum is σ = 407433969448740. Its totient is φ = 29851972608000.

The previous prime is 113064349161529. The next prime is 113064349161611. The reversal of 113064349161600 is 6161943460311.

113064349161600 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 6 + 4 + 34 + 9 + 1 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 30326696553024 + 82737652608576 = 5506968^2 + 9096024^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16526079 + ... + 22343678.

Almost surely, 2^{113064349161600} is an apocalyptic number.

113064349161600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113064349161600 is an abundant number, since it is smaller than the sum of its proper divisors (294369620287140).

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

113064349161600 is a wasteful number, since it uses less digits than its factorization.

113064349161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38869888 (or 38869868 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 113064349161600 in words is "one hundred thirteen trillion, sixty-four billion, three hundred forty-nine million, one hundred sixty-one thousand, six hundred".