48667820864 has 224 divisors, whose sum is σ = 117175605120. Its totient is φ = 19811008512.

The previous prime is 48667820857. The next prime is 48667820947. The reversal of 48667820864 is 46802876684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26066459 + ... + 26068325.

It is an arithmetic number, because the mean of its divisors is an integer number (523105380).

Almost surely, 2^48667820864 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 48667820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58587802560).

48667820864 is an abundant number, since it is smaller than the sum of its proper divisors (68507784256).

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

48667820864 is a wasteful number, since it uses less digits than its factorization.

48667820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 59.

The spelling of 48667820864 in words is "forty-eight billion, six hundred sixty-seven million, eight hundred twenty thousand, eight hundred sixty-four".