48829326336 has 704 divisors, whose sum is σ = 178170880000. Its totient is φ = 13168189440.

The previous prime is 48829326331. The next prime is 48829326341. The reversal of 48829326336 is 63362392884.

It is an interprime number because it is at equal distance from previous prime (48829326331) and next prime (48829326341).

It is a super-2 number, since 2×48829326336² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48829326331) 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, 180181881 + ... + 180182151.

Almost surely, 2^48829326336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48829326336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89085440000).

48829326336 is an abundant number, since it is smaller than the sum of its proper divisors (129341553664).

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

48829326336 is a wasteful number, since it uses less digits than its factorization.

48829326336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 302 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 48829326336 in words is "forty-eight billion, eight hundred twenty-nine million, three hundred twenty-six thousand, three hundred thirty-six".