48433832064 has 320 divisors, whose sum is σ = 154620576000. Its totient is φ = 15003076608.

The previous prime is 48433832059. The next prime is 48433832071. The reversal of 48433832064 is 46023833484.

48433832064 is a `hidden beast` number, since 4 + 8 + 433 + 8 + 3 + 206 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10438257 + ... + 10442895.

It is an arithmetic number, because the mean of its divisors is an integer number (483189300).

Almost surely, 2^48433832064 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 48433832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77310288000).

48433832064 is an abundant number, since it is smaller than the sum of its proper divisors (106186743936).

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

48433832064 is a wasteful number, since it uses less digits than its factorization.

48433832064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 48433832064 in words is "forty-eight billion, four hundred thirty-three million, eight hundred thirty-two thousand, sixty-four".