1005385844736 has 2304 divisors, whose sum is σ = 4178614003200. Its totient is φ = 235438866432.

The previous prime is 1005385844707. The next prime is 1005385844741. The reversal of 1005385844736 is 6374485835001.

1005385844736 is a `hidden beast` number, since 1 + 0 + 0 + 53 + 8 + 584 + 4 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13772408796 + ... + 13772408868.

It is an arithmetic number, because the mean of its divisors is an integer number (1813634550).

Almost surely, 2^{1005385844736} is an apocalyptic number.

1005385844736 is a gapful number since it is divisible by the number (16) 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 1005385844736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089307001600).

1005385844736 is an abundant number, since it is smaller than the sum of its proper divisors (3173228158464).

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

1005385844736 is a wasteful number, since it uses less digits than its factorization.

1005385844736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1005385844736 in words is "one trillion, five billion, three hundred eighty-five million, eight hundred forty-four thousand, seven hundred thirty-six".