114956415 has 160 divisors (see below), whose sum is σ = 257596416. Its totient is φ = 47900160.

The previous prime is 114956399. The next prime is 114956419. The reversal of 114956415 is 514659411.

114956415 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 5 + 641 + 5 = 666.

It is not a de Polignac number, because 114956415 - 2⁴ = 114956399 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114956415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114956419) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2673384 + ... + 2673426.

Almost surely, 2^114956415 is an apocalyptic number.

114956415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114956415 is an abundant number, since it is smaller than the sum of its proper divisors (142640001).

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

114956415 is a wasteful number, since it uses less digits than its factorization.

114956415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 114956415 is about 10721.7729410765. The cubic root of 114956415 is about 486.2329701523.

The spelling of 114956415 in words is "one hundred fourteen million, nine hundred fifty-six thousand, four hundred fifteen".