191120786648064 has 2464 divisors, whose sum is σ = 751708543574016. Its totient is φ = 47108794613760.

The previous prime is 191120786648041. The next prime is 191120786648101. The reversal of 191120786648064 is 460846687021191.

191120786648064 is a `hidden beast` number, since 1 + 9 + 1 + 1 + 20 + 78 + 6 + 6 + 480 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 191120786647992 and 191120786648010.

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, 192856494609 + ... + 192856495599.

Almost surely, 2^{191120786648064} is an apocalyptic number.

191120786648064 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 191120786648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375854271787008).

191120786648064 is an abundant number, since it is smaller than the sum of its proper divisors (560587756925952).

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

191120786648064 is a wasteful number, since it uses less digits than its factorization.

191120786648064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1200 counting only the distinct ones).

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

The spelling of 191120786648064 in words is "one hundred ninety-one trillion, one hundred twenty billion, seven hundred eighty-six million, six hundred forty-eight thousand, sixty-four".