114248772 has 96 divisors (see below), whose sum is σ = 342195840. Its totient is φ = 32578560.

The previous prime is 114248741. The next prime is 114248779. The reversal of 114248772 is 277842411.

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 (114248779) by changing a digit.

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, 17368 + ... + 23024.

It is an arithmetic number, because the mean of its divisors is an integer number (3564540).

Almost surely, 2^114248772 is an apocalyptic number.

114248772 is a gapful number since it is divisible by the number (12) 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 114248772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171097920).

114248772 is an abundant number, since it is smaller than the sum of its proper divisors (227947068).

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

114248772 is a wasteful number, since it uses less digits than its factorization.

114248772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 5690 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 114248772 is about 10688.7217196445. The cubic root of 114248772 is about 485.2332063016.

The spelling of 114248772 in words is "one hundred fourteen million, two hundred forty-eight thousand, seven hundred seventy-two".