58454218368 has 288 divisors, whose sum is σ = 210724883460. Its totient is φ = 15416303616.

The previous prime is 58454218351. The next prime is 58454218469. The reversal of 58454218368 is 86381245485.

58454218368 is a `hidden beast` number, since 5 + 8 + 454 + 2 + 183 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58444029504 + 10188864 = 241752^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 693996 + ... + 773652.

Almost surely, 2^58454218368 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 58454218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105362441730).

58454218368 is an abundant number, since it is smaller than the sum of its proper divisors (152270665092).

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

58454218368 is a wasteful number, since it uses less digits than its factorization.

58454218368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79704 (or 79682 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 58454218368 in words is "fifty-eight billion, four hundred fifty-four million, two hundred eighteen thousand, three hundred sixty-eight".