366992428401 has 45 divisors (see below), whose sum is σ = 552483102171. Its totient is φ = 243778363992.

The previous prime is 366992428393. The next prime is 366992428403. The reversal of 366992428401 is 104824299663.

The square root of 366992428401 is 605799.

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

366992428401 is a `hidden beast` number, since 36 + 69 + 92 + 428 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63254765025 + 303737663376 = 251505^2 + 551124^2 .

It is not a de Polignac number, because 366992428401 - 2³ = 366992428393 is a prime.

It is a super-2 number, since 2×366992428401² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (366992428403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1324882275 + ... + 1324882551.

Almost surely, 2^366992428401 is an apocalyptic number.

366992428401 is the 605799-th square number.

366992428401 is the 302900-th centered octagonal number.

It is an amenable number.

366992428401 is a deficient number, since it is larger than the sum of its proper divisors (185490673770).

366992428401 is an frugal number, since it uses more digits than its factorization.

366992428401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 366992428401 in words is "three hundred sixty-six billion, nine hundred ninety-two million, four hundred twenty-eight thousand, four hundred one".