58291342096 has 45 divisors (see below), whose sum is σ = 122321753589. Its totient is φ = 26897901888.

The previous prime is 58291342093. The next prime is 58291342099. The reversal of 58291342096 is 69024319285.

The square root of 58291342096 is 241436.

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

It is an interprime number because it is at equal distance from previous prime (58291342093) and next prime (58291342099).

It can be written as a sum of positive squares in only one way, i.e., 8622979600 + 49668362496 = 92860^2 + 222864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58291342093) 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 8 ways as a sum of consecutive naturals, for example, 12552351 + ... + 12556993.

Almost surely, 2^58291342096 is an apocalyptic number.

58291342096 is the 241436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58291342096

58291342096 is an abundant number, since it is smaller than the sum of its proper divisors (64030411493).

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

58291342096 is an frugal number, since it uses more digits than its factorization.

58291342096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9320 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 58291342096 by its sum of digits (49), we get a square (2856275762704 = 1690052²).

The spelling of 58291342096 in words is "fifty-eight billion, two hundred ninety-one million, three hundred forty-two thousand, ninety-six".