191048074930944 has 720 divisors, whose sum is σ = 716877296061696. Its totient is φ = 49159067443200.

The previous prime is 191048074930901. The next prime is 191048074931003. The reversal of 191048074930944 is 449039470840191.

191048074930944 is a `hidden beast` number, since 1 + 9 + 10 + 48 + 0 + 7 + 493 + 0 + 94 + 4 = 666.

It is a super-2 number, since 2×191048074930944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 170284774 + ... + 171403034.

Almost surely, 2^{191048074930944} is an apocalyptic number.

191048074930944 is a gapful number since it is divisible by the number (14) 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 191048074930944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358438648030848).

191048074930944 is an abundant number, since it is smaller than the sum of its proper divisors (525829221130752).

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

191048074930944 is a wasteful number, since it uses less digits than its factorization.

191048074930944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118414 (or 1118391 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 191048074930944 in words is "one hundred ninety-one trillion, forty-eight billion, seventy-four million, nine hundred thirty thousand, nine hundred forty-four".