729558313146 has 36 divisors (see below), whose sum is σ = 1702333218222. Its totient is φ = 224475460704.

The previous prime is 729558313093. The next prime is 729558313151. The reversal of 729558313146 is 641313855927.

It is a happy number.

729558313146 is a `hidden beast` number, since 7 + 2 + 9 + 5 + 583 + 13 + 1 + 46 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 621399547521 + 108158765625 = 788289^2 + 328875^2 .

It is a junction number, because it is equal to n+sod(n) for n = 729558313092 and 729558313101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13037940 + ... + 13093776.

Almost surely, 2^729558313146 is an apocalyptic number.

729558313146 is an abundant number, since it is smaller than the sum of its proper divisors (972774905076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729558313146 is an frugal number, since it uses more digits than its factorization.

729558313146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111695 (or 55855 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 729558313146 in words is "seven hundred twenty-nine billion, five hundred fifty-eight million, three hundred thirteen thousand, one hundred forty-six".