114520416 has 48 divisors (see below), whose sum is σ = 305726400. Its totient is φ = 37524608.

The previous prime is 114520411. The next prime is 114520423. The reversal of 114520416 is 614025411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×114520416² = 26229851361626112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114520411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4446 + ... + 15773.

It is an arithmetic number, because the mean of its divisors is an integer number (6369300).

Almost surely, 2^114520416 is an apocalyptic number.

114520416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114520416 is an abundant number, since it is smaller than the sum of its proper divisors (191205984).

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

114520416 is a wasteful number, since it uses less digits than its factorization.

114520416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20291 (or 20283 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 114520416 is about 10701.4212140257. The cubic root of 114520416 is about 485.6174740647.

Adding to 114520416 its reverse (614025411), we get a palindrome (728545827).

The spelling of 114520416 in words is "one hundred fourteen million, five hundred twenty thousand, four hundred sixteen".