1005747385568 has 24 divisors (see below), whose sum is σ = 2022194214432. Its totient is φ = 492174251776.

The previous prime is 1005747385567. The next prime is 1005747385597. The reversal of 1005747385568 is 8655837475001.

1005747385568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005747385561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 334356005 + ... + 334359012.

It is an arithmetic number, because the mean of its divisors is an integer number (84258092268).

Almost surely, 2^{1005747385568} is an apocalyptic number.

It is an amenable number.

1005747385568 is an abundant number, since it is smaller than the sum of its proper divisors (1016446828864).

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

1005747385568 is an equidigital number, since it uses as much as digits as its factorization.

1005747385568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668715074 (or 668715066 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 59.

The spelling of 1005747385568 in words is "one trillion, five billion, seven hundred forty-seven million, three hundred eighty-five thousand, five hundred sixty-eight".