1005665067564 has 96 divisors (see below), whose sum is σ = 2368866958080. Its totient is φ = 332054553600.

The previous prime is 1005665067541. The next prime is 1005665067607. The reversal of 1005665067564 is 4657605665001.

It is a super-2 number, since 2×1005665067564² (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 31 ways as a sum of consecutive naturals, for example, 456496887 + ... + 456499089.

It is an arithmetic number, because the mean of its divisors is an integer number (24675697480).

Almost surely, 2^{1005665067564} is an apocalyptic number.

It is an amenable number.

1005665067564 is an abundant number, since it is smaller than the sum of its proper divisors (1363201890516).

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

1005665067564 is a wasteful number, since it uses less digits than its factorization.

1005665067564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 1005665067564 in words is "one trillion, five billion, six hundred sixty-five million, sixty-seven thousand, five hundred sixty-four".