114406416 has 60 divisors (see below), whose sum is σ = 334109568. Its totient is φ = 36476352.

The previous prime is 114406387. The next prime is 114406427. The reversal of 114406416 is 614604411.

114406416 is a `hidden beast` number, since 1 + 14 + 4 + 0 + 641 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114406416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13960 + ... + 20583.

Almost surely, 2^114406416 is an apocalyptic number.

114406416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114406416 is an abundant number, since it is smaller than the sum of its proper divisors (219703152).

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

114406416 is a wasteful number, since it uses less digits than its factorization.

114406416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34580 (or 34571 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114406416 is about 10696.0934924859. The cubic root of 114406416 is about 485.4562836739.

The spelling of 114406416 in words is "one hundred fourteen million, four hundred six thousand, four hundred sixteen".