35340122690961 has 128 divisors (see below), whose sum is σ = 55910490071040. Its totient is φ = 19626408576000.

The previous prime is 35340122690941. The next prime is 35340122690989. The reversal of 35340122690961 is 16909622104353.

It is not a de Polignac number, because 35340122690961 - 2¹⁵ = 35340122658193 is a prime.

It is a super-2 number, since 2×35340122690961² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (35340122690941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1657826875 + ... + 1657848191.

It is an arithmetic number, because the mean of its divisors is an integer number (436800703680).

Almost surely, 2^{35340122690961} is an apocalyptic number.

It is an amenable number.

35340122690961 is a deficient number, since it is larger than the sum of its proper divisors (20570367380079).

35340122690961 is a wasteful number, since it uses less digits than its factorization.

35340122690961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22055.

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 35340122690961 in words is "thirty-five trillion, three hundred forty billion, one hundred twenty-two million, six hundred ninety thousand, nine hundred sixty-one".