18291838291001 has 6 divisors (see below), whose sum is σ = 20105904898506. Its totient is φ = 16628943900800.

The previous prime is 18291838290991. The next prime is 18291838291007. The reversal of 18291838291001 is 10019283819281.

It can be written as a sum of positive squares in only one way, i.e., 12413642890000 + 5878195401001 = 3523300^2 + 2424499^2 .

It is a de Polignac number, because none of the positive numbers 2^k-18291838291001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18291838291007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75586108520 + ... + 75586108761.

It is an arithmetic number, because the mean of its divisors is an integer number (3350984149751).

Almost surely, 2^{18291838291001} is an apocalyptic number.

18291838291001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18291838291001 is a deficient number, since it is larger than the sum of its proper divisors (1814066607505).

18291838291001 is a wasteful number, since it uses less digits than its factorization.

18291838291001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151172217303 (or 151172217292 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 53.

The spelling of 18291838291001 in words is "eighteen trillion, two hundred ninety-one billion, eight hundred thirty-eight million, two hundred ninety-one thousand, one".