58493000448 has 504 divisors, whose sum is σ = 184902390288. Its totient is φ = 18435465216.

The previous prime is 58493000443. The next prime is 58493000453. The reversal of 58493000448 is 84400039485.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (58493000443) and next prime (58493000453).

It is a super-2 number, since 2×58493000448² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58493000443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 296918686 + ... + 296918882.

It is an arithmetic number, because the mean of its divisors is an integer number (366869822).

Almost surely, 2^58493000448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58493000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92451195144).

58493000448 is an abundant number, since it is smaller than the sum of its proper divisors (126409389840).

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

58493000448 is an equidigital number, since it uses as much as digits as its factorization.

58493000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 58493000448 in words is "fifty-eight billion, four hundred ninety-three million, four hundred forty-eight", and thus it is an aban number.