345215100681 has 72 divisors (see below), whose sum is σ = 568111569480. Its totient is φ = 201609408000.

The previous prime is 345215100673. The next prime is 345215100691. The reversal of 345215100681 is 186001512543.

345215100681 is a `hidden beast` number, since 3 + 4 + 521 + 51 + 0 + 0 + 6 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29753145081 + 315461955600 = 172491^2 + 561660^2 .

It is not a de Polignac number, because 345215100681 - 2³ = 345215100673 is a prime.

It is a super-2 number, since 2×345215100681² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345215100641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16443211 + ... + 16464191.

It is an arithmetic number, because the mean of its divisors is an integer number (7890438465).

Almost surely, 2^345215100681 is an apocalyptic number.

It is an amenable number.

345215100681 is a deficient number, since it is larger than the sum of its proper divisors (222896468799).

345215100681 is a wasteful number, since it uses less digits than its factorization.

345215100681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21559 (or 21545 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 345215100681 in words is "three hundred forty-five billion, two hundred fifteen million, one hundred thousand, six hundred eighty-one".