114460864 has 168 divisors, whose sum is σ = 297088560. Its totient is φ = 43352064.

The previous prime is 114460849. The next prime is 114460877. The reversal of 114460864 is 468064411.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 1012872 + ... + 1012984.

Almost surely, 2^114460864 is an apocalyptic number.

114460864 is a gapful number since it is divisible by the number (14) 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 114460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148544280).

114460864 is an abundant number, since it is smaller than the sum of its proper divisors (182627696).

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

114460864 is a wasteful number, since it uses less digits than its factorization.

114460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 114460864 is about 10698.6384180418. The cubic root of 114460864 is about 485.5332838184.

The spelling of 114460864 in words is "one hundred fourteen million, four hundred sixty thousand, eight hundred sixty-four".