429000110361 has 27 divisors (see below), whose sum is σ = 625716388479. Its totient is φ = 283234743792.

The previous prime is 429000110333. The next prime is 429000110369. The reversal of 429000110361 is 163011000924.

The square root of 429000110361 is 654981.

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

429000110361 is a `hidden beast` number, since 4 + 290 + 0 + 0 + 1 + 10 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 299011018761 + 129989091600 = 546819^2 + 360540^2 .

It is not a de Polignac number, because 429000110361 - 2¹³ = 429000102169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (429000110369) 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, 214177786 + ... + 214179788.

Almost surely, 2^429000110361 is an apocalyptic number.

429000110361 is the 654981-st square number.

429000110361 is the 327491-st centered octagonal number.

It is an amenable number.

429000110361 is a deficient number, since it is larger than the sum of its proper divisors (196716278118).

429000110361 is an frugal number, since it uses more digits than its factorization.

429000110361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Multiplying 429000110361 by its product of nonzero digits (1296), we get a square (555984143027856 = 23579316²).

The spelling of 429000110361 in words is "four hundred twenty-nine billion, one hundred ten thousand, three hundred sixty-one".