114846624 has 72 divisors (see below), whose sum is σ = 327950532. Its totient is φ = 38123520.

The previous prime is 114846623. The next prime is 114846629. The reversal of 114846624 is 426648411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 1040400 = 10668^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (114846623) 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 11 ways as a sum of consecutive naturals, for example, 83704 + ... + 85064.

Almost surely, 2^114846624 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 114846624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163975266).

114846624 is an abundant number, since it is smaller than the sum of its proper divisors (213103908).

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

114846624 is a wasteful number, since it uses less digits than its factorization.

114846624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1659 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 114846624 is about 10716.6517159046. The cubic root of 114846624 is about 486.0781259355.

The spelling of 114846624 in words is "one hundred fourteen million, eight hundred forty-six thousand, six hundred twenty-four".