114199519500 has 576 divisors, whose sum is σ = 421339097088. Its totient is φ = 25755840000.

The previous prime is 114199519439. The next prime is 114199519507. The reversal of 114199519500 is 5915991411.

It is a happy number.

114199519500 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 99 + 51 + 9 + 500 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114199519507) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42123145 + ... + 42125855.

It is an arithmetic number, because the mean of its divisors is an integer number (731491488).

Almost surely, 2^114199519500 is an apocalyptic number.

114199519500 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 114199519500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210669548544).

114199519500 is an abundant number, since it is smaller than the sum of its proper divisors (307139577588).

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

114199519500 is a wasteful number, since it uses less digits than its factorization.

114199519500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 45.

The spelling of 114199519500 in words is "one hundred fourteen billion, one hundred ninety-nine million, five hundred nineteen thousand, five hundred".