58901348416 has 63 divisors (see below), whose sum is σ = 122277859711. Its totient is φ = 28148852864.

The previous prime is 58901348399. The next prime is 58901348437. The reversal of 58901348416 is 61484310985.

It is a happy number.

The square root of 58901348416 is 242696.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58901348416.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44655405 + ... + 44656723.

Almost surely, 2^58901348416 is an apocalyptic number.

58901348416 is the 242696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58901348416

58901348416 is an abundant number, since it is smaller than the sum of its proper divisors (63376511295).

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

58901348416 is an frugal number, since it uses more digits than its factorization.

58901348416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

Multiplying 58901348416 by its sum of digits (49), we get a square (2886166072384 = 1698872²).

The spelling of 58901348416 in words is "fifty-eight billion, nine hundred one million, three hundred forty-eight thousand, four hundred sixteen".