2018101518801 has 9 divisors (see below), whose sum is σ = 2915041683099. Its totient is φ = 1345398171336.

The previous prime is 2018101518773. The next prime is 2018101518803. The reversal of 2018101518801 is 1088151018102.

It is a happy number.

The square root of 2018101518801 is 1420599.

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

2018101518801 is a `hidden beast` number, since 20 + 18 + 101 + 518 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35851529025 + 1982249989776 = 189345^2 + 1407924^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-2018101518801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2018101518803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4025031 + ... + 4498563.

Almost surely, 2^{2018101518801} is an apocalyptic number.

2018101518801 is the 1420599-th square number.

2018101518801 is the 710300-th centered octagonal number.

It is an amenable number.

2018101518801 is a deficient number, since it is larger than the sum of its proper divisors (896940164298).

2018101518801 is an frugal number, since it uses more digits than its factorization.

2018101518801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947072 (or 473536 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 36.

Multiplying 2018101518801 by its sum of digits (36), we get a square (72651654676836 = 8523594²).

The spelling of 2018101518801 in words is "two trillion, eighteen billion, one hundred one million, five hundred eighteen thousand, eight hundred one".