18963144 has 48 divisors (see below), whose sum is σ = 52138320. Its totient is φ = 6225120.

The previous prime is 18963127. The next prime is 18963157. The reversal of 18963144 is 44136981.

18963144 is a `hidden beast` number, since 18 + 9 + 631 + 4 + 4 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 18963099 and 18963108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2859 + ... + 6789.

It is an arithmetic number, because the mean of its divisors is an integer number (1086215).

Almost surely, 2^18963144 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 18963144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26069160).

18963144 is an abundant number, since it is smaller than the sum of its proper divisors (33175176).

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

18963144 is a wasteful number, since it uses less digits than its factorization.

18963144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 4003 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 18963144 is about 4354.6692182070. The cubic root of 18963144 is about 266.6675152751.

The spelling of 18963144 in words is "eighteen million, nine hundred sixty-three thousand, one hundred forty-four".