48509064864 has 240 divisors, whose sum is σ = 158597429760. Its totient is φ = 14444075520.

The previous prime is 48509064853. The next prime is 48509064869. The reversal of 48509064864 is 46846090584.

48509064864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48509064864.

It is not an unprimeable number, because it can be changed into a prime (48509064869) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1021357 + ... + 1067795.

It is an arithmetic number, because the mean of its divisors is an integer number (660822624).

Almost surely, 2^48509064864 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 48509064864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79298714880).

48509064864 is an abundant number, since it is smaller than the sum of its proper divisors (110088364896).

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

48509064864 is a wasteful number, since it uses less digits than its factorization.

48509064864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46505 (or 46488 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 48509064864 in words is "forty-eight billion, five hundred nine million, sixty-four thousand, eight hundred sixty-four".