114949376 has 72 divisors (see below), whose sum is σ = 247499784. Its totient is φ = 53084160.

The previous prime is 114949369. The next prime is 114949379. The reversal of 114949376 is 673949411.

It can be written as a sum of positive squares in 4 ways, for example, as 30976 + 114918400 = 176^2 + 10720^2 .

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114949379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265256 + ... + 265688.

It is an arithmetic number, because the mean of its divisors is an integer number (3437497).

Almost surely, 2^114949376 is an apocalyptic number.

114949376 is a gapful number since it is divisible by the number (16) 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 114949376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123749892).

114949376 is an abundant number, since it is smaller than the sum of its proper divisors (132550408).

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

114949376 is an equidigital number, since it uses as much as digits as its factorization.

114949376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 513 counting only the distinct ones).

The product of its digits is 163296, while the sum is 44.

The square root of 114949376 is about 10721.4446787735. Note that the first 3 decimals coincide. The cubic root of 114949376 is about 486.2230456264.

The spelling of 114949376 in words is "one hundred fourteen million, nine hundred forty-nine thousand, three hundred seventy-six".