114514320 has 80 divisors (see below), whose sum is σ = 358727040. Its totient is φ = 30216192.

The previous prime is 114514303. The next prime is 114514333. The reversal of 114514320 is 23415411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×114514320² = 26227058970124800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20821 + ... + 25739.

It is an arithmetic number, because the mean of its divisors is an integer number (4484088).

Almost surely, 2^114514320 is an apocalyptic number.

114514320 is a gapful number since it is divisible by the number (10) 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 114514320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179363520).

114514320 is an abundant number, since it is smaller than the sum of its proper divisors (244212720).

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

114514320 is a wasteful number, since it uses less digits than its factorization.

114514320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 114514320 is about 10701.1363882534. The cubic root of 114514320 is about 485.6088573284.

Adding to 114514320 its reverse (23415411), we get a palindrome (137929731).

The spelling of 114514320 in words is "one hundred fourteen million, five hundred fourteen thousand, three hundred twenty".