191413005189120 has 3888 divisors, whose sum is σ = 846793213867440. Its totient is φ = 40971345592320.

The previous prime is 191413005189073. The next prime is 191413005189167. The reversal of 191413005189120 is 21981500314191.

191413005189120 is a `hidden beast` number, since 1 + 9 + 1 + 4 + 1 + 3 + 0 + 0 + 518 + 9 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (191413005189073) and next prime (191413005189167).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8322304573429 + ... + 8322304573451.

It is an arithmetic number, because the mean of its divisors is an integer number (217796608505).

Almost surely, 2^{191413005189120} is an apocalyptic number.

191413005189120 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 191413005189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423396606933720).

191413005189120 is an abundant number, since it is smaller than the sum of its proper divisors (655380208678320).

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

191413005189120 is an equidigital number, since it uses as much as digits as its factorization.

191413005189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 191413005189120 in words is "one hundred ninety-one trillion, four hundred thirteen billion, five million, one hundred eighty-nine thousand, one hundred twenty".