1345574480121 has 27 divisors (see below), whose sum is σ = 2008488112527. Its totient is φ = 868042968480.

The previous prime is 1345574480113. The next prime is 1345574480137. The reversal of 1345574480121 is 1210844755431.

The square root of 1345574480121 is 1159989.

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

1345574480121 is a `hidden beast` number, since 1 + 3 + 4 + 557 + 4 + 4 + 80 + 12 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 939978725625 + 405595754496 = 969525^2 + 636864^2 .

It is not a de Polignac number, because 1345574480121 - 2³ = 1345574480113 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1345574480161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 107872741 + ... + 107885213.

Almost surely, 2^{1345574480121} is an apocalyptic number.

1345574480121 is the 1159989-th square number.

1345574480121 is the 579995-th centered octagonal number.

It is an amenable number.

1345574480121 is a deficient number, since it is larger than the sum of its proper divisors (662913632406).

1345574480121 is an frugal number, since it uses more digits than its factorization.

1345574480121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25014 (or 12507 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1345574480121 in words is "one trillion, three hundred forty-five billion, five hundred seventy-four million, four hundred eighty thousand, one hundred twenty-one".