429291505861201 has 9 divisors (see below), whose sum is σ = 429481358311771. Its totient is φ = 429101737325392.

The previous prime is 429291505861139. The next prime is 429291505861223. The reversal of 429291505861201 is 102168505192924.

The square root of 429291505861201 is 20719351.

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

It can be written as a sum of positive squares in only one way, i.e., 46119650411025 + 383171855450176 = 6791145^2 + 19574776^2 .

It is not a de Polignac number, because 429291505861201 - 2⁷ = 429291505861073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (429291505861601) 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, 84389914080 + ... + 84389919166.

Almost surely, 2^{429291505861201} is an apocalyptic number.

429291505861201 is the 20719351-st square number.

429291505861201 is the 10359676-th centered octagonal number.

It is an amenable number.

429291505861201 is a deficient number, since it is larger than the sum of its proper divisors (189852450570).

429291505861201 is an frugal number, since it uses more digits than its factorization.

429291505861201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18320 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 55.

The spelling of 429291505861201 in words is "four hundred twenty-nine trillion, two hundred ninety-one billion, five hundred five million, eight hundred sixty-one thousand, two hundred one".