114199686000 has 640 divisors, whose sum is σ = 427488472320. Its totient is φ = 29113344000.

The previous prime is 114199685987. The next prime is 114199686017. The reversal of 114199686000 is 686991411.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121877532 + ... + 121878468.

It is an arithmetic number, because the mean of its divisors is an integer number (667950738).

Almost surely, 2^114199686000 is an apocalyptic number.

114199686000 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 114199686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213744236160).

114199686000 is an abundant number, since it is smaller than the sum of its proper divisors (313288786320).

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

114199686000 is a wasteful number, since it uses less digits than its factorization.

114199686000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 114199686000 in words is "one hundred fourteen billion, one hundred ninety-nine million, six hundred eighty-six thousand".