48058346592 has 144 divisors (see below), whose sum is σ = 138596971968. Its totient is φ = 15793908480.

The previous prime is 48058346569. The next prime is 48058346593. The reversal of 48058346592 is 29564385084.

48058346592 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 8 + 3 + 46 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48058346593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13456167 + ... + 13459737.

It is an arithmetic number, because the mean of its divisors is an integer number (962478972).

Almost surely, 2^48058346592 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 48058346592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69298485984).

48058346592 is an abundant number, since it is smaller than the sum of its proper divisors (90538625376).

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

48058346592 is a wasteful number, since it uses less digits than its factorization.

48058346592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 48058346592 in words is "forty-eight billion, fifty-eight million, three hundred forty-six thousand, five hundred ninety-two".