114914415 has 64 divisors (see below), whose sum is σ = 235514880. Its totient is φ = 46448640.

The previous prime is 114914411. The next prime is 114914419. The reversal of 114914415 is 514419411.

It is an interprime number because it is at equal distance from previous prime (114914411) and next prime (114914419).

It is not a de Polignac number, because 114914415 - 2² = 114914411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114914411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41391 + ... + 44079.

It is an arithmetic number, because the mean of its divisors is an integer number (3679920).

Almost surely, 2^114914415 is an apocalyptic number.

114914415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114914415 is an abundant number, since it is smaller than the sum of its proper divisors (120600465).

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

114914415 is a wasteful number, since it uses less digits than its factorization.

114914415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752.

The product of its digits is 2880, while the sum is 30.

The square root of 114914415 is about 10719.8141308513. The cubic root of 114914415 is about 486.1737469173.

The spelling of 114914415 in words is "one hundred fourteen million, nine hundred fourteen thousand, four hundred fifteen".