114456780 has 96 divisors (see below), whose sum is σ = 360729600. Its totient is φ = 30124224.

The previous prime is 114456721. The next prime is 114456781. The reversal of 114456780 is 87654411.

It is a happy number.

114456780 is a `hidden beast` number, since 1 + 14 + 4 + 567 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114456781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41319 + ... + 44001.

It is an arithmetic number, because the mean of its divisors is an integer number (3757600).

Almost surely, 2^114456780 is an apocalyptic number.

114456780 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 114456780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180364800).

114456780 is an abundant number, since it is smaller than the sum of its proper divisors (246272820).

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

114456780 is a wasteful number, since it uses less digits than its factorization.

114456780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 114456780 is about 10698.4475509300. The cubic root of 114456780 is about 485.5275090891.

It can be divided in two parts, 11445 and 6780, that added together give a square (18225 = 135²).

The spelling of 114456780 in words is "one hundred fourteen million, four hundred fifty-six thousand, seven hundred eighty".