18514944 has 198 divisors, whose sum is σ = 63706734. Its totient is φ = 5160960.

The previous prime is 18514943. The next prime is 18514961. The reversal of 18514944 is 44941581.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 7225344 = 3360^2 + 2688^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 18514899 and 18514908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18514943) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451564 + ... + 451604.

Almost surely, 2^18514944 is an apocalyptic number.

18514944 is a gapful number since it is divisible by the number (14) 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 18514944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31853367).

18514944 is an abundant number, since it is smaller than the sum of its proper divisors (45191790).

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

18514944 is a wasteful number, since it uses less digits than its factorization.

18514944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 18514944 is about 4302.8994875549. The cubic root of 18514944 is about 264.5498183160.

It can be divided in two parts, 185149 and 44, that added together give a cube (185193 = 57³).

The spelling of 18514944 in words is "eighteen million, five hundred fourteen thousand, nine hundred forty-four".