19638630144 has 288 divisors, whose sum is σ = 67204103680. Its totient is φ = 5609917440.

The previous prime is 19638630133. The next prime is 19638630149. The reversal of 19638630144 is 44103683691.

19638630144 is a `hidden beast` number, since 1 + 9 + 6 + 3 + 8 + 630 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 19638630144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19638630149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3916599 + ... + 3921609.

Almost surely, 2^19638630144 is an apocalyptic number.

19638630144 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 19638630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33602051840).

19638630144 is an abundant number, since it is smaller than the sum of its proper divisors (47565473536).

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

19638630144 is an frugal number, since it uses more digits than its factorization.

19638630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 19638630144 in words is "nineteen billion, six hundred thirty-eight million, six hundred thirty thousand, one hundred forty-four".