345655861001961 has 8 divisors (see below), whose sum is σ = 460903619319264. Its totient is φ = 230422671676320.

The previous prime is 345655861001921. The next prime is 345655861002007. The reversal of 345655861001961 is 169100168556543.

It is a happy number.

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

It is not a de Polignac number, because 345655861001961 - 2¹³ = 345655860993769 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 345655861001895 and 345655861001904.

It is not an unprimeable number, because it can be changed into a prime (345655861001911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3642192555 + ... + 3642287456.

It is an arithmetic number, because the mean of its divisors is an integer number (57612952414908).

Almost surely, 2^{345655861001961} is an apocalyptic number.

It is an amenable number.

345655861001961 is a deficient number, since it is larger than the sum of its proper divisors (115247758317303).

345655861001961 is a wasteful number, since it uses less digits than its factorization.

345655861001961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284495831.

The product of its (nonzero) digits is 23328000, while the sum is 60.

The spelling of 345655861001961 in words is "three hundred forty-five trillion, six hundred fifty-five billion, eight hundred sixty-one million, one thousand, nine hundred sixty-one".