114490624 has 36 divisors (see below), whose sum is σ = 231789600. Its totient is φ = 56430080.

The previous prime is 114490613. The next prime is 114490643. The reversal of 114490624 is 426094411.

114490624 = T₁₁₅ + T₁₁₆ + ... + T₈₈₂.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 15027 + ... + 21325.

It is an arithmetic number, because the mean of its divisors is an integer number (6438600).

Almost surely, 2^114490624 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 114490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115894800).

114490624 is an abundant number, since it is smaller than the sum of its proper divisors (117298976).

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

114490624 is an frugal number, since it uses more digits than its factorization.

114490624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 114490624 is about 10700.0291588388. The cubic root of 114490624 is about 485.5753599712.

The spelling of 114490624 in words is "one hundred fourteen million, four hundred ninety thousand, six hundred twenty-four".