114445680 has 80 divisors (see below), whose sum is σ = 356253984. Its totient is φ = 30392320.

The previous prime is 114445657. The next prime is 114445691. The reversal of 114445680 is 86544411.

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

It is a congruent number.

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, 66592 + ... + 68288.

Almost surely, 2^114445680 is an apocalyptic number.

114445680 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 114445680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178126992).

114445680 is an abundant number, since it is smaller than the sum of its proper divisors (241808304).

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

114445680 is a wasteful number, since it uses less digits than its factorization.

114445680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 114445680 is about 10697.9287714959. The cubic root of 114445680 is about 485.5118131219.

The spelling of 114445680 in words is "one hundred fourteen million, four hundred forty-five thousand, six hundred eighty".