114068307600 has 405 divisors, whose sum is σ = 429633133137. Its totient is φ = 28013506560.

The previous prime is 114068307589. The next prime is 114068307707. The reversal of 114068307600 is 6703860411.

The square root of 114068307600 is 337740.

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

114068307600 is a `hidden beast` number, since 1 + 1 + 40 + 6 + 8 + 3 + 0 + 7 + 600 = 666.

114068307600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 109955907216 + 4112400384 = 331596^2 + 64128^2 .

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 80 ways as a sum of consecutive naturals, for example, 263436984 + ... + 263437416.

Almost surely, 2^114068307600 is an apocalyptic number.

114068307600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114068307600 is the 337740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114068307600

114068307600 is an abundant number, since it is smaller than the sum of its proper divisors (315564825537).

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

114068307600 is a wasteful number, since it uses less digits than its factorization.

114068307600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 456 counting only the distinct ones).

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

Multiplying 114068307600 by its sum of digits (36), we get a square (4106459073600 = 2026440²).

114068307600 divided by its sum of digits (36) gives a square (3168564100 = 56290²).

The spelling of 114068307600 in words is "one hundred fourteen billion, sixty-eight million, three hundred seven thousand, six hundred".