48438792000 has 336 divisors, whose sum is σ = 175015483344. Its totient is φ = 12787200000.

The previous prime is 48438791993. The next prime is 48438792013. The reversal of 48438792000 is 29783484.

48438792000 is a `hidden beast` number, since 4 + 8 + 438 + 7 + 9 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 88059456 + 48350732544 = 9384^2 + 219888^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7268670 + ... + 7275330.

Almost surely, 2^48438792000 is an apocalyptic number.

48438792000 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 48438792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87507741672).

48438792000 is an abundant number, since it is smaller than the sum of its proper divisors (126576691344).

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

48438792000 is a wasteful number, since it uses less digits than its factorization.

48438792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795 (or 6772 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 48438792000 in words is "forty-eight billion, four hundred thirty-eight million, seven hundred ninety-two thousand".