58015466496 has 297 divisors, whose sum is σ = 182340408159. Its totient is φ = 17758420992.

The previous prime is 58015466473. The next prime is 58015466513. The reversal of 58015466496 is 69466451085.

The square root of 58015466496 is 240864.

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

58015466496 is a `hidden beast` number, since 5 + 8 + 0 + 1 + 546 + 6 + 4 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21885060096 + 36130406400 = 147936^2 + 190080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 300598176 + ... + 300598368.

Almost surely, 2^58015466496 is an apocalyptic number.

58015466496 is the 240864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58015466496

58015466496 is an abundant number, since it is smaller than the sum of its proper divisors (124324941663).

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

58015466496 is a wasteful number, since it uses less digits than its factorization.

58015466496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 58015466496 in words is "fifty-eight billion, fifteen million, four hundred sixty-six thousand, four hundred ninety-six".