1418059417329 has 27 divisors (see below), whose sum is σ = 2057164920993. Its totient is φ = 941302711872.

The previous prime is 1418059417309. The next prime is 1418059417387. The reversal of 1418059417329 is 9237149508141.

The square root of 1418059417329 is 1190823.

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

1418059417329 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 0 + 594 + 17 + 32 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7144929 + 1418052272400 = 2673^2 + 1190820^2 .

It is not a de Polignac number, because 1418059417329 - 2³⁹ = 868303603441 is a prime.

It is a super-2 number, since 2×1418059417329² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1418059417309) 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, 989573197 + ... + 989574629.

Almost surely, 2^{1418059417329} is an apocalyptic number.

1418059417329 is the 1190823-rd square number.

1418059417329 is the 595412-nd centered octagonal number.

It is an amenable number.

1418059417329 is a deficient number, since it is larger than the sum of its proper divisors (639105503664).

1418059417329 is an frugal number, since it uses more digits than its factorization.

1418059417329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1418059417329 in words is "one trillion, four hundred eighteen billion, fifty-nine million, four hundred seventeen thousand, three hundred twenty-nine".