191348868672 has 672 divisors, whose sum is σ = 652110659200. Its totient is φ = 55145152512.

The previous prime is 191348868593. The next prime is 191348868751. The reversal of 191348868672 is 276868843191.

191348868672 is a `hidden beast` number, since 1 + 9 + 1 + 3 + 488 + 6 + 86 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (191348868593) and next prime (191348868751).

It is a super-2 number, since 2×191348868672² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418706268 + ... + 418706724.

Almost surely, 2^191348868672 is an apocalyptic number.

191348868672 is a gapful number since it is divisible by the number (12) 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 191348868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326055329600).

191348868672 is an abundant number, since it is smaller than the sum of its proper divisors (460761790528).

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

191348868672 is a wasteful number, since it uses less digits than its factorization.

191348868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 603 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 191348868672 in words is "one hundred ninety-one billion, three hundred forty-eight million, eight hundred sixty-eight thousand, six hundred seventy-two".