117046094400 has 189 divisors, whose sum is σ = 416155423593. Its totient is φ = 31201344000.

The previous prime is 117046094377. The next prime is 117046094423. The reversal of 117046094400 is 4490640711.

The square root of 117046094400 is 342120.

It is a perfect power (a square), and thus also a powerful number.

117046094400 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 4 + 609 + 4 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117046094377) and next prime (117046094423).

It can be written as a sum of positive squares in only one way, i.e., 42136593984 + 74909500416 = 205272^2 + 273696^2 .

It is a super-2 number, since 2×117046094400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41052975 + ... + 41055825.

Almost surely, 2^117046094400 is an apocalyptic number.

117046094400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117046094400 is the 342120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117046094400

117046094400 is an abundant number, since it is smaller than the sum of its proper divisors (299109329193).

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

117046094400 is an frugal number, since it uses more digits than its factorization.

117046094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 117046094400 by its sum of digits (36), we get a square (4213659398400 = 2052720²).

117046094400 divided by its sum of digits (36) gives a square (3251280400 = 57020²).

The spelling of 117046094400 in words is "one hundred seventeen billion, forty-six million, ninety-four thousand, four hundred".