58048094344900 has 81 divisors (see below), whose sum is σ = 138458697448813. Its totient is φ = 21108093186400.

The previous prime is 58048094344841. The next prime is 58048094344901. The reversal of 58048094344900 is 944349084085.

The square root of 58048094344900 is 7618930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20897313964164 + 37150780380736 = 4571358^2 + 6095144^2 .

It is a super-2 number, since 2×58048094344900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58048094344901) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 838047669 + ... + 838116931.

Almost surely, 2^{58048094344900} is an apocalyptic number.

58048094344900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58048094344900 is the 7618930-th square number.

It is an amenable number.

58048094344900 is an abundant number, since it is smaller than the sum of its proper divisors (80410603103913).

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

58048094344900 is an frugal number, since it uses more digits than its factorization.

58048094344900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138562 (or 69281 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 58048094344900 in words is "fifty-eight trillion, forty-eight billion, ninety-four million, three hundred forty-four thousand, nine hundred".