1005556741312 has 84 divisors (see below), whose sum is σ = 2051800443000. Its totient is φ = 488916692992.

The previous prime is 1005556741303. The next prime is 1005556741363. The reversal of 1005556741312 is 2131476555001.

It is a happy number.

1005556741312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005556741312² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20289939 + ... + 20339437.

It is an arithmetic number, because the mean of its divisors is an integer number (24426195750).

Almost surely, 2^{1005556741312} 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 1005556741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025900221500).

1005556741312 is an abundant number, since it is smaller than the sum of its proper divisors (1046243701688).

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

1005556741312 is an equidigital number, since it uses as much as digits as its factorization.

1005556741312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49730 (or 49667 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 1005556741312 in words is "one trillion, five billion, five hundred fifty-six million, seven hundred forty-one thousand, three hundred twelve".