114172416 has 100 divisors (see below), whose sum is σ = 340898382. Its totient is φ = 38043648.

The previous prime is 114172403. The next prime is 114172427. The reversal of 114172416 is 614271411.

114172416 is a `hidden beast` number, since 1 + 1 + 417 + 241 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 41990400 = 8496^2 + 6480^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 114172416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40096 + ... + 42848.

Almost surely, 2^114172416 is an apocalyptic number.

114172416 is a gapful number since it is divisible by the number (16) 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 114172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170449191).

114172416 is an abundant number, since it is smaller than the sum of its proper divisors (226725966).

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

114172416 is an frugal number, since it uses more digits than its factorization.

114172416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2758 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 114172416 is about 10685.1493204353. The cubic root of 114172416 is about 485.1250834071.

The spelling of 114172416 in words is "one hundred fourteen million, one hundred seventy-two thousand, four hundred sixteen".