2901133361772 has 18 divisors (see below), whose sum is σ = 7333420442348. Its totient is φ = 967044453912.

The previous prime is 2901133361729. The next prime is 2901133361813. The reversal of 2901133361772 is 2771633311092.

2901133361772 is a `hidden beast` number, since 2 + 90 + 1 + 133 + 361 + 7 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40293518878 + ... + 40293518949.

Almost surely, 2^{2901133361772} is an apocalyptic number.

It is an amenable number.

2901133361772 is an abundant number, since it is smaller than the sum of its proper divisors (4432287080576).

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

2901133361772 is a wasteful number, since it uses less digits than its factorization.

2901133361772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80587037837 (or 80587037832 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 2901133361772 in words is "two trillion, nine hundred one billion, one hundred thirty-three million, three hundred sixty-one thousand, seven hundred seventy-two".