114164480 has 72 divisors (see below), whose sum is σ = 277166400. Its totient is φ = 45047808.

The previous prime is 114164471. The next prime is 114164497. The reversal of 114164480 is 84461411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100556 + ... + 101684.

Almost surely, 2^114164480 is an apocalyptic number.

114164480 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 114164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138583200).

114164480 is an abundant number, since it is smaller than the sum of its proper divisors (163001920).

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

114164480 is an equidigital number, since it uses as much as digits as its factorization.

114164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 114164480 is about 10684.7779574496. Note that the first 3 decimals coincide. The cubic root of 114164480 is about 485.1138429750.

The spelling of 114164480 in words is "one hundred fourteen million, one hundred sixty-four thousand, four hundred eighty".