114310416 has 80 divisors (see below), whose sum is σ = 324532800. Its totient is φ = 34383360.

The previous prime is 114310409. The next prime is 114310451. The reversal of 114310416 is 614013411.

It is a junction number, because it is equal to n+sod(n) for n = 114310392 and 114310401.

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 15 ways as a sum of consecutive naturals, for example, 77946 + ... + 79398.

It is an arithmetic number, because the mean of its divisors is an integer number (4056660).

Almost surely, 2^114310416 is an apocalyptic number.

114310416 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 114310416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162266400).

114310416 is an abundant number, since it is smaller than the sum of its proper divisors (210222384).

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

114310416 is a wasteful number, since it uses less digits than its factorization.

114310416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 114310416 is about 10691.6049309727. The cubic root of 114310416 is about 485.3204613245.

Adding to 114310416 its reverse (614013411), we get a palindrome (728323827).

The spelling of 114310416 in words is "one hundred fourteen million, three hundred ten thousand, four hundred sixteen".