8385431347044 has 96 divisors (see below), whose sum is σ = 21913540400640. Its totient is φ = 2772903124224.

The previous prime is 8385431347039. The next prime is 8385431347091. The reversal of 8385431347044 is 4407431345838.

8385431347044 is a `hidden beast` number, since 8 + 3 + 8 + 543 + 13 + 47 + 0 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 8047557 + ... + 9029619.

It is an arithmetic number, because the mean of its divisors is an integer number (228266045840).

Almost surely, 2^{8385431347044} 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 8385431347044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10956770200320).

8385431347044 is an abundant number, since it is smaller than the sum of its proper divisors (13528109053596).

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

8385431347044 is a wasteful number, since it uses less digits than its factorization.

8385431347044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982706 (or 982698 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 8385431347044 in words is "eight trillion, three hundred eighty-five billion, four hundred thirty-one million, three hundred forty-seven thousand, forty-four".