48268836000 has 864 divisors, whose sum is σ = 215330379264. Its totient is φ = 10023552000.

The previous prime is 48268835987. The next prime is 48268836013. The reversal of 48268836000 is 63886284.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48268835987) and next prime (48268836013).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30491209 + ... + 30492791.

It is an arithmetic number, because the mean of its divisors is an integer number (249224976).

Almost surely, 2^48268836000 is an apocalyptic number.

48268836000 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 48268836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107665189632).

48268836000 is an abundant number, since it is smaller than the sum of its proper divisors (167061543264).

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

48268836000 is a wasteful number, since it uses less digits than its factorization.

48268836000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 48268836000 in words is "forty-eight billion, two hundred sixty-eight million, eight hundred thirty-six thousand".