345733416081 has 9 divisors (see below), whose sum is σ = 499395260091. Its totient is φ = 230487768072.

The previous prime is 345733416079. The next prime is 345733416137. The reversal of 345733416081 is 180614337543.

The square root of 345733416081 is 587991.

It is a perfect power (a square), and thus also a powerful number.

345733416081 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 3 + 34 + 1 + 608 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4812890625 + 340920525456 = 69375^2 + 583884^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 345733416081 - 2¹ = 345733416079 is a prime.

It is a super-2 number, since 2×345733416081² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345733416031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1665975 + ... + 1861971.

Almost surely, 2^345733416081 is an apocalyptic number.

345733416081 is the 587991-st square number.

345733416081 is the 293996-th centered octagonal number.

It is an amenable number.

345733416081 is a deficient number, since it is larger than the sum of its proper divisors (153661844010).

345733416081 is an frugal number, since it uses more digits than its factorization.

345733416081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392000 (or 196000 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 345733416081 in words is "three hundred forty-five billion, seven hundred thirty-three million, four hundred sixteen thousand, eighty-one".