48433764000 has 384 divisors, whose sum is σ = 162830932992. Its totient is φ = 12581606400.

The previous prime is 48433763981. The next prime is 48433764007. The reversal of 48433764000 is 46733484.

It is a self number, because there is not a number n which added to its sum of digits gives 48433764000.

It is not an unprimeable number, because it can be changed into a prime (48433764007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86027719 + ... + 86028281.

It is an arithmetic number, because the mean of its divisors is an integer number (424038888).

Almost surely, 2^48433764000 is an apocalyptic number.

48433764000 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 48433764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81415466496).

48433764000 is an abundant number, since it is smaller than the sum of its proper divisors (114397168992).

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

48433764000 is a wasteful number, since it uses less digits than its factorization.

48433764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 48433764000 in words is "forty-eight billion, four hundred thirty-three million, seven hundred sixty-four thousand".