18952100266801 has 9 divisors (see below), whose sum is σ = 20522158021281. Its totient is φ = 17494194159312.

The previous prime is 18952100266789. The next prime is 18952100266807. The reversal of 18952100266801 is 10866200125981.

The square root of 18952100266801 is 4353401.

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

It can be written as a sum of positive squares in 4 ways, for example, as 88714026801 + 18863386240000 = 297849^2 + 4343200^2 .

It is not a de Polignac number, because 18952100266801 - 2¹⁵ = 18952100234033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18952100266807) 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, 56426775 + ... + 56761651.

Almost surely, 2^{18952100266801} is an apocalyptic number.

18952100266801 is the 4353401-st square number.

18952100266801 is the 2176701-st centered octagonal number.

It is an amenable number.

18952100266801 is a deficient number, since it is larger than the sum of its proper divisors (1570057754480).

18952100266801 is an frugal number, since it uses more digits than its factorization.

18952100266801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669780 (or 334890 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

Multiplying 18952100266801 by its sum of digits (49), we get a square (928652913073249 = 30473807²).

The spelling of 18952100266801 in words is "eighteen trillion, nine hundred fifty-two billion, one hundred million, two hundred sixty-six thousand, eight hundred one".