351328558030749 has 24 divisors (see below), whose sum is σ = 546798576723672. Its totient is φ = 216088458652800.

The previous prime is 351328558030727. The next prime is 351328558030763. The reversal of 351328558030749 is 947030855823153.

351328558030749 is a `hidden beast` number, since 3 + 5 + 1 + 3 + 2 + 8 + 5 + 580 + 3 + 0 + 7 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15356154828249 + 335972403202500 = 3918693^2 + 18329550^2 .

It is not a de Polignac number, because 351328558030749 - 2²⁸ = 351328289595293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351328558038749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789574582 + ... + 790019415.

It is an arithmetic number, because the mean of its divisors is an integer number (22783274030153).

Almost surely, 2^{351328558030749} is an apocalyptic number.

351328558030749 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

351328558030749 is a deficient number, since it is larger than the sum of its proper divisors (195470018692923).

351328558030749 is a wasteful number, since it uses less digits than its factorization.

351328558030749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579595917 (or 1579595914 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 351328558030749 in words is "three hundred fifty-one trillion, three hundred twenty-eight billion, five hundred fifty-eight million, thirty thousand, seven hundred forty-nine".