1006145573772 has 24 divisors (see below), whose sum is σ = 2382712902976. Its totient is φ = 330376158288.

The previous prime is 1006145573737. The next prime is 1006145573789. The reversal of 1006145573772 is 2773755416001.

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 7 ways as a sum of consecutive naturals, for example, 625711618 + ... + 625713225.

Almost surely, 2^{1006145573772} is an apocalyptic number.

1006145573772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006145573772 is an abundant number, since it is smaller than the sum of its proper divisors (1376567329204).

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

1006145573772 is a wasteful number, since it uses less digits than its factorization.

1006145573772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251424917 (or 1251424915 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 1006145573772 in words is "one trillion, six billion, one hundred forty-five million, five hundred seventy-three thousand, seven hundred seventy-two".