4855876066944 has 384 divisors, whose sum is σ = 16834057968000. Its totient is φ = 1312489267200.

The previous prime is 4855876066933. The next prime is 4855876066957. The reversal of 4855876066944 is 4496606785584.

It is a happy number.

4855876066944 is a `hidden beast` number, since 4 + 8 + 5 + 5 + 8 + 7 + 606 + 6 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108607794 + ... + 108652494.

It is an arithmetic number, because the mean of its divisors is an integer number (43838692625).

Almost surely, 2^{4855876066944} 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 4855876066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8417028984000).

4855876066944 is an abundant number, since it is smaller than the sum of its proper divisors (11978181901056).

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

4855876066944 is a wasteful number, since it uses less digits than its factorization.

4855876066944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45456 (or 45441 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 4855876066944 in words is "four trillion, eight hundred fifty-five billion, eight hundred seventy-six million, sixty-six thousand, nine hundred forty-four".