8018745764121 has 9 divisors (see below), whose sum is σ = 11582645041279. Its totient is φ = 5345824845936.

The previous prime is 8018745764069. The next prime is 8018745764137. The reversal of 8018745764121 is 1214675478108.

It is a happy number.

The square root of 8018745764121 is 2831739.

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

8018745764121 is a `hidden beast` number, since 8 + 0 + 1 + 8 + 7 + 4 + 576 + 41 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7786360064025 + 232385700096 = 2790405^2 + 482064^2 .

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

It is not a de Polignac number, because 8018745764121 - 2¹⁷ = 8018745633049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8018745764191) 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, 8023261 + ... + 8967173.

Almost surely, 2^{8018745764121} is an apocalyptic number.

8018745764121 is the 2831739-th square number.

8018745764121 is the 1415870-th centered octagonal number.

It is an amenable number.

8018745764121 is a deficient number, since it is larger than the sum of its proper divisors (3563899277158).

8018745764121 is an frugal number, since it uses more digits than its factorization.

8018745764121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887832 (or 943916 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 8018745764121 in words is "eight trillion, eighteen billion, seven hundred forty-five million, seven hundred sixty-four thousand, one hundred twenty-one".