19117638144 has 480 divisors, whose sum is σ = 63720296640. Its totient is φ = 5673369600.

The previous prime is 19117638131. The next prime is 19117638149. The reversal of 19117638144 is 44183671191.

19117638144 is a `hidden beast` number, since 1 + 9 + 1 + 1 + 7 + 638 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19117638144.

It is not an unprimeable number, because it can be changed into a prime (19117638149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83483022 + ... + 83483250.

It is an arithmetic number, because the mean of its divisors is an integer number (132750618).

Almost surely, 2^19117638144 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 19117638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31860148320).

19117638144 is an abundant number, since it is smaller than the sum of its proper divisors (44602658496).

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

19117638144 is an equidigital number, since it uses as much as digits as its factorization.

19117638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 306 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 19117638144 in words is "nineteen billion, one hundred seventeen million, six hundred thirty-eight thousand, one hundred forty-four".