191353868640 has 1344 divisors, whose sum is σ = 811024607232. Its totient is φ = 42102374400.

The previous prime is 191353868633. The next prime is 191353868663. The reversal of 191353868640 is 46868353191.

191353868640 is a `hidden beast` number, since 1 + 9 + 1 + 3 + 538 + 68 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 676161939 + ... + 676162221.

It is an arithmetic number, because the mean of its divisors is an integer number (603440928).

Almost surely, 2^191353868640 is an apocalyptic number.

191353868640 is a gapful number since it is divisible by the number (10) 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 191353868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405512303616).

191353868640 is an abundant number, since it is smaller than the sum of its proper divisors (619670738592).

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

191353868640 is a wasteful number, since it uses less digits than its factorization.

191353868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 191353868640 in words is "one hundred ninety-one billion, three hundred fifty-three million, eight hundred sixty-eight thousand, six hundred forty".