3845104585056 has 720 divisors, whose sum is σ = 13732772296320. Its totient is φ = 1051121111040.

The previous prime is 3845104585043. The next prime is 3845104585057. The reversal of 3845104585056 is 6505854015483.

3845104585056 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 1 + 0 + 4 + 585 + 0 + 56 = 666.

3845104585056 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 junction number, because it is equal to n+sod(n) for n = 3845104584993 and 3845104585011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3845104585057) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 350409586 + ... + 350420558.

It is an arithmetic number, because the mean of its divisors is an integer number (19073294856).

Almost surely, 2^{3845104585056} is an apocalyptic number.

3845104585056 is a gapful number since it is divisible by the number (36) 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 3845104585056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866386148160).

3845104585056 is an abundant number, since it is smaller than the sum of its proper divisors (9887667711264).

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

3845104585056 is a wasteful number, since it uses less digits than its factorization.

3845104585056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11129 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 3845104585056 in words is "three trillion, eight hundred forty-five billion, one hundred four million, five hundred eighty-five thousand, fifty-six".