4893574753984 has 112 divisors (see below), whose sum is σ = 11184076761088. Its totient is φ = 2081027801088.

The previous prime is 4893574753967. The next prime is 4893574754039.

4893574753984 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4893574753984² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4893574753984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30590752 + ... + 30750304.

It is an arithmetic number, because the mean of its divisors is an integer number (99857828224).

Almost surely, 2^{4893574753984} 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 4893574753984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592038380544).

4893574753984 is an abundant number, since it is smaller than the sum of its proper divisors (6290502007104).

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

4893574753984 is a wasteful number, since it uses less digits than its factorization.

4893574753984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160102 (or 160092 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 76.

The spelling of 4893574753984 in words is "four trillion, eight hundred ninety-three billion, five hundred seventy-four million, seven hundred fifty-three thousand, nine hundred eighty-four".