414315353345121 has 6 divisors (see below), whose sum is σ = 598455510387410. Its totient is φ = 276210235563408.

The previous prime is 414315353345107. The next prime is 414315353345147. The reversal of 414315353345121 is 121543353513414.

It is a happy number.

414315353345121 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 1 + 53 + 53 + 34 + 512 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 309688231357521 + 104627121987600 = 17597961^2 + 10228740^2 .

It is not a de Polignac number, because 414315353345121 - 2⁶ = 414315353345057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414315353340121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23017519630276 + ... + 23017519630293.

Almost surely, 2^{414315353345121} is an apocalyptic number.

It is an amenable number.

414315353345121 is a deficient number, since it is larger than the sum of its proper divisors (184140157042289).

414315353345121 is a wasteful number, since it uses less digits than its factorization.

414315353345121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46035039260575 (or 46035039260572 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 414315353345121 in words is "four hundred fourteen trillion, three hundred fifteen billion, three hundred fifty-three million, three hundred forty-five thousand, one hundred twenty-one".