114554880 has 288 divisors, whose sum is σ = 436952880. Its totient is φ = 27525120.

The previous prime is 114554833. The next prime is 114554887. The reversal of 114554880 is 88455411.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114554887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013704 + ... + 1013816.

Almost surely, 2^114554880 is an apocalyptic number.

114554880 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 114554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218476440).

114554880 is an abundant number, since it is smaller than the sum of its proper divisors (322398000).

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

114554880 is a wasteful number, since it uses less digits than its factorization.

114554880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 114554880 is about 10703.0313463056. The cubic root of 114554880 is about 485.6661834058. Note that the first 3 decimals are identical.

The spelling of 114554880 in words is "one hundred fourteen million, five hundred fifty-four thousand, eight hundred eighty".