48332879712 has 384 divisors, whose sum is σ = 158090526720. Its totient is φ = 14265538560.

The previous prime is 48332879711. The next prime is 48332879717. The reversal of 48332879712 is 21797823384.

48332879712 is a `hidden beast` number, since 483 + 3 + 28 + 79 + 71 + 2 = 666.

It is a super-2 number, since 2×48332879712² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48332879711) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 44219838 + ... + 44220930.

It is an arithmetic number, because the mean of its divisors is an integer number (411694080).

Almost surely, 2^48332879712 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 48332879712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79045263360).

48332879712 is an abundant number, since it is smaller than the sum of its proper divisors (109757647008).

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

48332879712 is a wasteful number, since it uses less digits than its factorization.

48332879712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1269 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 48332879712 in words is "forty-eight billion, three hundred thirty-two million, eight hundred seventy-nine thousand, seven hundred twelve".