19000968336 has 225 divisors, whose sum is σ = 64090144899. Its totient is φ = 5418923328.

The previous prime is 19000968223. The next prime is 19000968377. The reversal of 19000968336 is 63386900091.

The square root of 19000968336 is 137844.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×19000968336² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19000968291 and 19000968300.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34736415 + ... + 34736961.

Almost surely, 2^19000968336 is an apocalyptic number.

19000968336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19000968336 is the 137844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19000968336

19000968336 is an abundant number, since it is smaller than the sum of its proper divisors (45089176563).

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

19000968336 is an frugal number, since it uses more digits than its factorization.

19000968336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 19000968336 in words is "nineteen billion, nine hundred sixty-eight thousand, three hundred thirty-six".