114503680 has 52 divisors (see below), whose sum is σ = 274824432. Its totient is φ = 45793280.

The previous prime is 114503663. The next prime is 114503681. The reversal of 114503680 is 86305411.

It is a super-2 number, since 2×114503680² = 26222185467084800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114503681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17685 + ... + 23275.

Almost surely, 2^114503680 is an apocalyptic number.

114503680 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 114503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137412216).

114503680 is an abundant number, since it is smaller than the sum of its proper divisors (160320752).

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

114503680 is an frugal number, since it uses more digits than its factorization.

114503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 114503680 is about 10700.6392332421. The cubic root of 114503680 is about 485.5938168855.

The spelling of 114503680 in words is "one hundred fourteen million, five hundred three thousand, six hundred eighty".