48079332000 has 1920 divisors, whose sum is σ = 226040855040. Its totient is φ = 9754214400.

The previous prime is 48079331999. The next prime is 48079332013. The reversal of 48079332000 is 23397084.

It is a super-3 number, since 3×48079332000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 319 ways as a sum of consecutive naturals, for example, 1118123979 + ... + 1118124021.

It is an arithmetic number, because the mean of its divisors is an integer number (117729612).

Almost surely, 2^48079332000 is an apocalyptic number.

48079332000 is a gapful number since it is divisible by the number (40) 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 48079332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113020427520).

48079332000 is an abundant number, since it is smaller than the sum of its proper divisors (177961523040).

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

48079332000 is a wasteful number, since it uses less digits than its factorization.

48079332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 48079332000 in words is "forty-eight billion, seventy-nine million, three hundred thirty-two thousand".