4851538351584 has 96 divisors (see below), whose sum is σ = 12865028946336. Its totient is φ = 1600713523200.

The previous prime is 4851538351559. The next prime is 4851538351601.

4851538351584 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 35001264 + ... + 35139600.

It is an arithmetic number, because the mean of its divisors is an integer number (134010718191).

Almost surely, 2^{4851538351584} 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 4851538351584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432514473168).

4851538351584 is an abundant number, since it is smaller than the sum of its proper divisors (8013490594752).

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

4851538351584 is a wasteful number, since it uses less digits than its factorization.

4851538351584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142068 (or 142060 counting only the distinct ones).

The product of its digits is 46080000, while the sum is 60.

The spelling of 4851538351584 in words is "four trillion, eight hundred fifty-one billion, five hundred thirty-eight million, three hundred fifty-one thousand, five hundred eighty-four".