350439136441 has 9 divisors (see below), whose sum is σ = 353748805263. Its totient is φ = 347160164760.

The previous prime is 350439136409. The next prime is 350439136457. The reversal of 350439136441 is 144631934053.

It is a happy number.

The square root of 350439136441 is 591979.

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., 244254396841 + 106184739600 = 494221^2 + 325860^2 .

It is not a de Polignac number, because 350439136441 - 2⁵ = 350439136409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (350439130441) 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, 64522996 + ... + 64528426.

It is an arithmetic number, because the mean of its divisors is an integer number (39305422807).

Almost surely, 2^350439136441 is an apocalyptic number.

350439136441 is the 591979-th square number.

350439136441 is the 295990-th centered octagonal number.

It is an amenable number.

350439136441 is a deficient number, since it is larger than the sum of its proper divisors (3309668822).

350439136441 is an frugal number, since it uses more digits than its factorization.

350439136441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11080 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 350439136441 in words is "three hundred fifty billion, four hundred thirty-nine million, one hundred thirty-six thousand, four hundred forty-one".