114693987200 has 192 divisors, whose sum is σ = 311621929920. Its totient is φ = 41446809600.

The previous prime is 114693987173. The next prime is 114693987203. The reversal of 114693987200 is 2789396411.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114693987203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1925870 + ... + 1984530.

It is an arithmetic number, because the mean of its divisors is an integer number (1623030885).

Almost surely, 2^114693987200 is an apocalyptic number.

114693987200 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 114693987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155810964960).

114693987200 is an abundant number, since it is smaller than the sum of its proper divisors (196927942720).

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

114693987200 is a wasteful number, since it uses less digits than its factorization.

114693987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58745 (or 58728 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The spelling of 114693987200 in words is "one hundred fourteen billion, six hundred ninety-three million, nine hundred eighty-seven thousand, two hundred".