19314144 has 72 divisors (see below), whose sum is σ = 55364400. Its totient is φ = 6386688.

The previous prime is 19314137. The next prime is 19314187. The reversal of 19314144 is 44141391.

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

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

It is a congruent number.

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, 57144 + ... + 57480.

It is an arithmetic number, because the mean of its divisors is an integer number (768950).

Almost surely, 2^19314144 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 19314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27682200).

19314144 is an abundant number, since it is smaller than the sum of its proper divisors (36050256).

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

19314144 is a wasteful number, since it uses less digits than its factorization.

19314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 541 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 19314144 is about 4394.7860016160. The cubic root of 19314144 is about 268.3027691313.

The spelling of 19314144 in words is "nineteen million, three hundred fourteen thousand, one hundred forty-four".