141864469201 has 27 divisors (see below), whose sum is σ = 178739993691. Its totient is φ = 112217296464.

The previous prime is 141864469183. The next prime is 141864469213. The reversal of 141864469201 is 102964468141.

The square root of 141864469201 is 376649.

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., 20985868225 + 120878600976 = 144865^2 + 347676^2 .

It is not a de Polignac number, because 141864469201 - 2⁹ = 141864468689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141864469291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34272990 + ... + 34277128.

Almost surely, 2^141864469201 is an apocalyptic number.

141864469201 is the 376649-th square number.

141864469201 is the 188325-th centered octagonal number.

It is an amenable number.

141864469201 is a deficient number, since it is larger than the sum of its proper divisors (36875524490).

141864469201 is an frugal number, since it uses more digits than its factorization.

141864469201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8318 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

It can be divided in two parts, 141864 and 469201, that added together give a triangular number (611065 = T₁₁₀₅).

The spelling of 141864469201 in words is "one hundred forty-one billion, eight hundred sixty-four million, four hundred sixty-nine thousand, two hundred one".