19181134368 has 240 divisors, whose sum is σ = 61714832256. Its totient is φ = 5795919360.

The previous prime is 19181134361. The next prime is 19181134381. The reversal of 19181134368 is 86343118191.

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

It is not an unprimeable number, because it can be changed into a prime (19181134361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13200330 + ... + 13201782.

Almost surely, 2^19181134368 is an apocalyptic number.

19181134368 is a gapful number since it is divisible by the number (18) 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 19181134368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30857416128).

19181134368 is an abundant number, since it is smaller than the sum of its proper divisors (42533697888).

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

19181134368 is a wasteful number, since it uses less digits than its factorization.

19181134368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1932 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 19181134368 in words is "nineteen billion, one hundred eighty-one million, one hundred thirty-four thousand, three hundred sixty-eight".