48153676000 has 192 divisors, whose sum is σ = 126663264000. Its totient is φ = 17936755200.

The previous prime is 48153675949. The next prime is 48153676007. The reversal of 48153676000 is 67635184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48153676007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4478631 + ... + 4489369.

It is an arithmetic number, because the mean of its divisors is an integer number (659704500).

Almost surely, 2^48153676000 is an apocalyptic number.

48153676000 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 48153676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63331632000).

48153676000 is an abundant number, since it is smaller than the sum of its proper divisors (78509588000).

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

48153676000 is a wasteful number, since it uses less digits than its factorization.

48153676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10842 (or 10824 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 48153676000 in words is "forty-eight billion, one hundred fifty-three million, six hundred seventy-six thousand".