2853938064384 has 528 divisors, whose sum is σ = 9346300943616. Its totient is φ = 862650777600.

The previous prime is 2853938064361. The next prime is 2853938064389. The reversal of 2853938064384 is 4834608393582.

It is a happy number.

2853938064384 is a `hidden beast` number, since 2 + 8 + 539 + 3 + 8 + 0 + 64 + 38 + 4 = 666.

2853938064384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (2853938064389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1332991954 + ... + 1332994094.

Almost surely, 2^{2853938064384} is an apocalyptic number.

2853938064384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2853938064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673150471808).

2853938064384 is an abundant number, since it is smaller than the sum of its proper divisors (6492362879232).

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

2853938064384 is a wasteful number, since it uses less digits than its factorization.

2853938064384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 2853938064384 in words is "two trillion, eight hundred fifty-three billion, nine hundred thirty-eight million, sixty-four thousand, three hundred eighty-four".