18764482576401 has 27 divisors (see below), whose sum is σ = 28145820159561. Its totient is φ = 12509421133788.

The previous prime is 18764482576379. The next prime is 18764482576447. The reversal of 18764482576401 is 10467528446781.

The square root of 18764482576401 is 4331799.

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

18764482576401 is a `hidden beast` number, since 1 + 8 + 7 + 64 + 482 + 57 + 6 + 40 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 18764482576401 - 2¹⁷ = 18764482445329 is a prime.

It is a super-2 number, since 2×18764482576401² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18764482574401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 350848980 + ... + 350902458.

Almost surely, 2^{18764482576401} is an apocalyptic number.

18764482576401 is the 4331799-th square number.

18764482576401 is the 2165900-th centered octagonal number.

It is an amenable number.

18764482576401 is a deficient number, since it is larger than the sum of its proper divisors (9381337583160).

18764482576401 is an frugal number, since it uses more digits than its factorization.

18764482576401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106982 (or 53482 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 18764482576401 in words is "eighteen trillion, seven hundred sixty-four billion, four hundred eighty-two million, five hundred seventy-six thousand, four hundred one".