345119825961 has 27 divisors (see below), whose sum is σ = 529601234071. Its totient is φ = 216526974144.

The previous prime is 345119825959. The next prime is 345119825969. The reversal of 345119825961 is 169528911543.

The square root of 345119825961 is 587469.

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

345119825961 is a `hidden beast` number, since 3 + 45 + 1 + 1 + 9 + 8 + 2 + 596 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 268691906025 + 76427919936 = 518355^2 + 276456^2 .

It is not a de Polignac number, because 345119825961 - 2¹ = 345119825959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345119825898 and 345119825907.

It is not an unprimeable number, because it can be changed into a prime (345119825969) 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 26 ways as a sum of consecutive naturals, for example, 29955160 + ... + 29966678.

Almost surely, 2^345119825961 is an apocalyptic number.

345119825961 is the 587469-th square number.

345119825961 is the 293735-th centered octagonal number.

It is an amenable number.

345119825961 is a deficient number, since it is larger than the sum of its proper divisors (184481408110).

345119825961 is an frugal number, since it uses more digits than its factorization.

345119825961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23078 (or 11539 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 345119825961 in words is "three hundred forty-five billion, one hundred nineteen million, eight hundred twenty-five thousand, nine hundred sixty-one".