114968160 has 144 divisors (see below), whose sum is σ = 406997136. Its totient is φ = 30647808.

The previous prime is 114968149. The next prime is 114968173. The reversal of 114968160 is 61869411.

It is a happy number.

114968160 is a `hidden beast` number, since 1 + 1 + 496 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37402 + ... + 40358.

It is an arithmetic number, because the mean of its divisors is an integer number (2826369).

Almost surely, 2^114968160 is an apocalyptic number.

114968160 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 114968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203498568).

114968160 is an abundant number, since it is smaller than the sum of its proper divisors (292028976).

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

114968160 is an equidigital number, since it uses as much as digits as its factorization.

114968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114968160 is about 10722.3206443381. The cubic root of 114968160 is about 486.2495289259.

The spelling of 114968160 in words is "one hundred fourteen million, nine hundred sixty-eight thousand, one hundred sixty".