345081581361 has 24 divisors (see below), whose sum is σ = 544031916480. Its totient is φ = 209037660000.

The previous prime is 345081581347. The next prime is 345081581363. The reversal of 345081581361 is 163185180543.

345081581361 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 8 + 1 + 581 + 3 + 61 = 666.

It is not a de Polignac number, because 345081581361 - 2¹³ = 345081573169 is a prime.

It is a super-2 number, since 2×345081581361² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (345081581363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652890 + ... + 1056611.

It is an arithmetic number, because the mean of its divisors is an integer number (22667996520).

Almost surely, 2^345081581361 is an apocalyptic number.

It is an amenable number.

345081581361 is a deficient number, since it is larger than the sum of its proper divisors (198950335119).

345081581361 is a wasteful number, since it uses less digits than its factorization.

345081581361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711557 (or 1711554 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 345081581361 in words is "three hundred forty-five billion, eighty-one million, five hundred eighty-one thousand, three hundred sixty-one".