58304244240385 has 48 divisors (see below), whose sum is σ = 87691188262608. Its totient is φ = 36838880686080.

The previous prime is 58304244240373. The next prime is 58304244240413.

58304244240385 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2088259096561 + 56215985143824 = 1445081^2 + 7497732^2 .

It is not a de Polignac number, because 58304244240385 - 2²³ = 58304235851777 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217899444 + ... + 218166853.

It is an arithmetic number, because the mean of its divisors is an integer number (1826899755471).

Almost surely, 2^{58304244240385} is an apocalyptic number.

58304244240385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58304244240385 is a deficient number, since it is larger than the sum of its proper divisors (29386944022223).

58304244240385 is a wasteful number, since it uses less digits than its factorization.

58304244240385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436066354 (or 436066343 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 52.

The spelling of 58304244240385 in words is "fifty-eight trillion, three hundred four billion, two hundred forty-four million, two hundred forty thousand, three hundred eighty-five".