114886512 has 120 divisors (see below), whose sum is σ = 359237424. Its totient is φ = 35334144.

The previous prime is 114886501. The next prime is 114886523. The reversal of 114886512 is 215688411.

It is an interprime number because it is at equal distance from previous prime (114886501) and next prime (114886523).

It is a super-2 number, since 2×114886512² = 26397821279052288, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49408 + ... + 51680.

Almost surely, 2^114886512 is an apocalyptic number.

114886512 is a gapful number since it is divisible by the number (12) 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 114886512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179618712).

114886512 is an abundant number, since it is smaller than the sum of its proper divisors (244350912).

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

114886512 is a wasteful number, since it uses less digits than its factorization.

114886512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2291 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 114886512 is about 10718.5125833765. The cubic root of 114886512 is about 486.1343935598.

The spelling of 114886512 in words is "one hundred fourteen million, eight hundred eighty-six thousand, five hundred twelve".