350472288049 has 45 divisors (see below), whose sum is σ = 395822612679. Its totient is φ = 310306389120.

The previous prime is 350472288017. The next prime is 350472288073. The reversal of 350472288049 is 940882274053.

The square root of 350472288049 is 592007.

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

It can be written as a sum of positive squares in 7 ways, for example, as 222760400625 + 127711887424 = 471975^2 + 357368^2 .

It is not a de Polignac number, because 350472288049 - 2⁵ = 350472288017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 350472287987 and 350472288005.

It is not an unprimeable number, because it can be changed into a prime (350472280049) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3101524617 + ... + 3101524729.

Almost surely, 2^350472288049 is an apocalyptic number.

350472288049 is the 592007-th square number.

350472288049 is the 296004-th centered octagonal number.

It is an amenable number.

350472288049 is a deficient number, since it is larger than the sum of its proper divisors (45350324630).

350472288049 is an frugal number, since it uses more digits than its factorization.

350472288049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 350472288049 in words is "three hundred fifty billion, four hundred seventy-two million, two hundred eighty-eight thousand, forty-nine".