48604222728000 has 336 divisors, whose sum is σ = 175586871330000. Its totient is φ = 12832796160000.

The previous prime is 48604222727981. The next prime is 48604222728001. The reversal of 48604222728000 is 82722240684.

48604222728000 is a `hidden beast` number, since 4 + 86 + 0 + 422 + 2 + 72 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7689573368064 + 40914649359936 = 2773008^2 + 6396456^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48604222728001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3930126 + ... + 10613874.

Almost surely, 2^{48604222728000} is an apocalyptic number.

48604222728000 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 48604222728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87793435665000).

48604222728000 is an abundant number, since it is smaller than the sum of its proper divisors (126982648602000).

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

48604222728000 is a wasteful number, since it uses less digits than its factorization.

48604222728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6683883 (or 6683860 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

Adding to 48604222728000 its reverse (82722240684), we get a palindrome (48686944968684).

The spelling of 48604222728000 in words is "forty-eight trillion, six hundred four billion, two hundred twenty-two million, seven hundred twenty-eight thousand".