114745339800 has 768 divisors, whose sum is σ = 499668019200. Its totient is φ = 23551948800.

The previous prime is 114745339757. The next prime is 114745339817. The reversal of 114745339800 is 8933547411.

114745339800 is a `hidden beast` number, since 114 + 7 + 453 + 3 + 9 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18178645 + ... + 18184955.

It is an arithmetic number, because the mean of its divisors is an integer number (650609400).

Almost surely, 2^114745339800 is an apocalyptic number.

114745339800 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 114745339800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249834009600).

114745339800 is an abundant number, since it is smaller than the sum of its proper divisors (384922679400).

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

114745339800 is a wasteful number, since it uses less digits than its factorization.

114745339800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 114745339800 in words is "one hundred fourteen billion, seven hundred forty-five million, three hundred thirty-nine thousand, eight hundred".