114968700 has 432 divisors, whose sum is σ = 474969600. Its totient is φ = 23587200.

The previous prime is 114968681. The next prime is 114968719. The reversal of 114968700 is 7869411.

It is an interprime number because it is at equal distance from previous prime (114968681) and next prime (114968719).

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 143 ways as a sum of consecutive naturals, for example, 1455261 + ... + 1455339.

Almost surely, 2^114968700 is an apocalyptic number.

114968700 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 114968700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

114968700 is an abundant number, since it is smaller than the sum of its proper divisors (360000900).

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

114968700 is a wasteful number, since it uses less digits than its factorization.

114968700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 114968700 is about 10722.3458254246. The cubic root of 114968700 is about 486.2502902217.

The spelling of 114968700 in words is "one hundred fourteen million, nine hundred sixty-eight thousand, seven hundred".