18519501158041 has 27 divisors (see below), whose sum is σ = 20245993879671. Its totient is φ = 16932512735424.

The previous prime is 18519501158033. The next prime is 18519501158057. The reversal of 18519501158041 is 14085110591581.

The square root of 18519501158041 is 4303429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 5733012485641 + 12786488672400 = 2394371^2 + 3575820^2 .

It is not a de Polignac number, because 18519501158041 - 2³ = 18519501158033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18519501158341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6097957375 + ... + 6097960411.

It is an arithmetic number, because the mean of its divisors is an integer number (749851625173).

Almost surely, 2^{18519501158041} is an apocalyptic number.

18519501158041 is the 4303429-th square number.

18519501158041 is the 2151715-th centered octagonal number.

It is an amenable number.

18519501158041 is a deficient number, since it is larger than the sum of its proper divisors (1726492721630).

18519501158041 is an frugal number, since it uses more digits than its factorization.

18519501158041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 49.

Multiplying 18519501158041 by its sum of digits (49), we get a square (907455556744009 = 30124003²).

The spelling of 18519501158041 in words is "eighteen trillion, five hundred nineteen billion, five hundred one million, one hundred fifty-eight thousand, forty-one".