114834980 has 48 divisors (see below), whose sum is σ = 262335024. Its totient is φ = 41971200.

The previous prime is 114834977. The next prime is 114835003. The reversal of 114834980 is 89438411.

It can be written as a sum of positive squares in 8 ways, for example, as 473344 + 114361636 = 688^2 + 10694^2 .

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, 24074 + ... + 28446.

It is an arithmetic number, because the mean of its divisors is an integer number (5465313).

Almost surely, 2^114834980 is an apocalyptic number.

114834980 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 114834980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131167512).

114834980 is an abundant number, since it is smaller than the sum of its proper divisors (147500044).

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

114834980 is a wasteful number, since it uses less digits than its factorization.

114834980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 114834980 is about 10716.1084354349. The cubic root of 114834980 is about 486.0616979820.

The spelling of 114834980 in words is "one hundred fourteen million, eight hundred thirty-four thousand, nine hundred eighty".