48732872832 has 512 divisors, whose sum is σ = 170615808000. Its totient is φ = 13405077504.

The previous prime is 48732872803. The next prime is 48732872863. The reversal of 48732872832 is 23827823784.

48732872832 is a `hidden beast` number, since 4 + 87 + 3 + 287 + 283 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 82179928 + ... + 82180520.

It is an arithmetic number, because the mean of its divisors is an integer number (333234000).

Almost surely, 2^48732872832 is an apocalyptic number.

48732872832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48732872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307904000).

48732872832 is an abundant number, since it is smaller than the sum of its proper divisors (121882935168).

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

48732872832 is a wasteful number, since it uses less digits than its factorization.

48732872832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 727 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 48732872832 in words is "forty-eight billion, seven hundred thirty-two million, eight hundred seventy-two thousand, eight hundred thirty-two".