114953448 has 128 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 34358016.

The previous prime is 114953437. The next prime is 114953479. The reversal of 114953448 is 844359411.

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 31 ways as a sum of consecutive naturals, for example, 688261 + ... + 688427.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^114953448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114953448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

114953448 is an abundant number, since it is smaller than the sum of its proper divisors (204380952).

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

114953448 is a wasteful number, since it uses less digits than its factorization.

114953448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 114953448 is about 10721.6345768731. The cubic root of 114953448 is about 486.2287869273.

The spelling of 114953448 in words is "one hundred fourteen million, nine hundred fifty-three thousand, four hundred forty-eight".