19001354188968 has 48 divisors (see below), whose sum is σ = 51485006282580. Its totient is φ = 6330953301504.

The previous prime is 19001354188963. The next prime is 19001354188979. The reversal of 19001354188968 is 86988145310091.

19001354188968 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 1 + 3 + 541 + 8 + 89 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18345613779684 + 655740409284 = 4283178^2 + 809778^2 .

It is a super-2 number, since 2×19001354188968² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19001354188961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58825905 + ... + 59148032.

Almost surely, 2^{19001354188968} is an apocalyptic number.

19001354188968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19001354188968 is an abundant number, since it is smaller than the sum of its proper divisors (32483652093612).

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

19001354188968 is a wasteful number, since it uses less digits than its factorization.

19001354188968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117976186 (or 117976179 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 19001354188968 in words is "nineteen trillion, one billion, three hundred fifty-four million, one hundred eighty-eight thousand, nine hundred sixty-eight".