191746946130320 has 80 divisors (see below), whose sum is σ = 515223736606080. Its totient is φ = 65003138061312.

The previous prime is 191746946130317. The next prime is 191746946130353. The reversal of 191746946130320 is 23031649647191.

191746946130320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (56).

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 15 ways as a sum of consecutive naturals, for example, 1923575222 + ... + 1923674901.

It is an arithmetic number, because the mean of its divisors is an integer number (6440296707576).

Almost surely, 2^{191746946130320} is an apocalyptic number.

191746946130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191746946130320 is an abundant number, since it is smaller than the sum of its proper divisors (323476790475760).

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

191746946130320 is a wasteful number, since it uses less digits than its factorization.

191746946130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847250232 (or 3847250226 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 56.

The spelling of 191746946130320 in words is "one hundred ninety-one trillion, seven hundred forty-six billion, nine hundred forty-six million, one hundred thirty thousand, three hundred twenty".