48358040832 has 216 divisors, whose sum is σ = 141376166568. Its totient is φ = 15895756800.

The previous prime is 48358040827. The next prime is 48358040867. The reversal of 48358040832 is 23804085384.

48358040832 is a `hidden beast` number, since 483 + 58 + 0 + 40 + 83 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4600094976 + 43757945856 = 67824^2 + 209184^2 .

It is a super-2 number, since 2×48358040832² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 73158582 + ... + 73159242.

Almost surely, 2^48358040832 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 48358040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70688083284).

48358040832 is an abundant number, since it is smaller than the sum of its proper divisors (93018125736).

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

48358040832 is a wasteful number, since it uses less digits than its factorization.

48358040832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 48358040832 in words is "forty-eight billion, three hundred fifty-eight million, forty thousand, eight hundred thirty-two".