35001185353345 has 8 divisors (see below), whose sum is σ = 42001462838376. Its totient is φ = 28000921339776.

The previous prime is 35001185353331. The next prime is 35001185353357. The reversal of 35001185353345 is 54335358110053.

It can be written as a sum of positive squares in 4 ways, for example, as 5396965520769 + 29604219832576 = 2323137^2 + 5440976^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 35001185353345 - 2²⁹ = 35000648482433 is a prime.

It is a super-2 number, since 2×35001185353345² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35001185353295 and 35001185353304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3694429 + ... + 9146101.

It is an arithmetic number, because the mean of its divisors is an integer number (5250182854797).

Almost surely, 2^{35001185353345} is an apocalyptic number.

It is an amenable number.

35001185353345 is a deficient number, since it is larger than the sum of its proper divisors (7000277485031).

35001185353345 is a wasteful number, since it uses less digits than its factorization.

35001185353345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6735731.

The product of its (nonzero) digits is 1620000, while the sum is 46.

The spelling of 35001185353345 in words is "thirty-five trillion, one billion, one hundred eighty-five million, three hundred fifty-three thousand, three hundred forty-five".