48578958306 has 80 divisors (see below), whose sum is σ = 113915951424. Its totient is φ = 15443895456.

The previous prime is 48578958289. The next prime is 48578958347. The reversal of 48578958306 is 60385987584.

48578958306 is a `hidden beast` number, since 4 + 8 + 578 + 9 + 58 + 3 + 0 + 6 = 666.

It is a Curzon number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1274136 + ... + 1311708.

Almost surely, 2^48578958306 is an apocalyptic number.

48578958306 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48578958306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56957975712).

48578958306 is an abundant number, since it is smaller than the sum of its proper divisors (65336993118).

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

48578958306 is a wasteful number, since it uses less digits than its factorization.

48578958306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37957 (or 37948 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 48578958306 in words is "forty-eight billion, five hundred seventy-eight million, nine hundred fifty-eight thousand, three hundred six".