190580746048329 has 96 divisors (see below), whose sum is σ = 340722218532864. Its totient is φ = 92163153386880.

The previous prime is 190580746048309. The next prime is 190580746048393. The reversal of 190580746048329 is 923840647085091.

It is a happy number.

It is not a de Polignac number, because 190580746048329 - 2⁷ = 190580746048201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 190580746048329.

It is not an unprimeable number, because it can be changed into a prime (190580746048309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28135009 + ... + 34245294.

It is an arithmetic number, because the mean of its divisors is an integer number (3549189776384).

It is a 1-persistent number, because it is pandigital, but 2⋅190580746048329 = 381161492096658 is not.

Almost surely, 2^{190580746048329} is an apocalyptic number.

190580746048329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

190580746048329 is a deficient number, since it is larger than the sum of its proper divisors (150141472484535).

190580746048329 is a wasteful number, since it uses less digits than its factorization.

190580746048329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62380395 (or 62380376 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 190580746048329 in words is "one hundred ninety trillion, five hundred eighty billion, seven hundred forty-six million, forty-eight thousand, three hundred twenty-nine".