345559471992901 has 16 divisors (see below), whose sum is σ = 348200618618160. Its totient is φ = 342928458362880.

The previous prime is 345559471992869. The next prime is 345559471992953. The reversal of 345559471992901 is 109299174955543.

It is a Cunningham number, because it is equal to 18589230²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 183131966455876 + 162427505537025 = 13532626^2 + 12744705^2 .

It is a cyclic number.

It is not a de Polignac number, because 345559471992901 - 2⁵ = 345559471992869 is a prime.

It is a super-2 number, since 2×345559471992901² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345559471992961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1123510905 + ... + 1123818433.

It is an arithmetic number, because the mean of its divisors is an integer number (21762538663635).

Almost surely, 2^{345559471992901} is an apocalyptic number.

It is an amenable number.

345559471992901 is a deficient number, since it is larger than the sum of its proper divisors (2641146625259).

345559471992901 is a wasteful number, since it uses less digits than its factorization.

345559471992901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323976.

The product of its (nonzero) digits is 551124000, while the sum is 73.

The spelling of 345559471992901 in words is "three hundred forty-five trillion, five hundred fifty-nine billion, four hundred seventy-one million, nine hundred ninety-two thousand, nine hundred one".