114114624 has 112 divisors (see below), whose sum is σ = 328574400. Its totient is φ = 34744320.

The previous prime is 114114617. The next prime is 114114629. The reversal of 114114624 is 426411411.

It is a super-2 number, since 2×114114624² = 26044294821322752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 114114594 and 114114603.

It is not an unprimeable number, because it can be changed into a prime (114114629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326802 + ... + 327150.

It is an arithmetic number, because the mean of its divisors is an integer number (2933700).

Almost surely, 2^114114624 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 114114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164287200).

114114624 is an abundant number, since it is smaller than the sum of its proper divisors (214459776).

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

114114624 is a wasteful number, since it uses less digits than its factorization.

114114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 114114624 is about 10682.4446640271. Note that the first 3 decimals coincide. The cubic root of 114114624 is about 485.0432157616.

The spelling of 114114624 in words is "one hundred fourteen million, one hundred fourteen thousand, six hundred twenty-four".