114095430900 has 576 divisors, whose sum is σ = 412893573120. Its totient is φ = 26792640000.

The previous prime is 114095430899. The next prime is 114095430931. The reversal of 114095430900 is 9034590411.

It is a happy number.

114095430900 is a `hidden beast` number, since 11 + 40 + 95 + 430 + 90 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128630257 + ... + 128631143.

It is an arithmetic number, because the mean of its divisors is an integer number (716829120).

Almost surely, 2^114095430900 is an apocalyptic number.

114095430900 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 114095430900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206446786560).

114095430900 is an abundant number, since it is smaller than the sum of its proper divisors (298798142220).

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

114095430900 is a wasteful number, since it uses less digits than its factorization.

114095430900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 114095430900 in words is "one hundred fourteen billion, ninety-five million, four hundred thirty thousand, nine hundred".