729938498121 has 192 divisors, whose sum is σ = 1324279756800. Its totient is φ = 378001686528.

The previous prime is 729938498033. The next prime is 729938498137. The reversal of 729938498121 is 121894839927.

729938498121 is a `hidden beast` number, since 7 + 2 + 99 + 38 + 498 + 1 + 21 = 666.

It is not a de Polignac number, because 729938498121 - 2¹⁵ = 729938465353 is a prime.

It is a super-2 number, since 2×729938498121² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (729938498621) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 949204425 + ... + 949205193.

It is an arithmetic number, because the mean of its divisors is an integer number (6897290400).

Almost surely, 2^729938498121 is an apocalyptic number.

It is an amenable number.

729938498121 is a deficient number, since it is larger than the sum of its proper divisors (594341258679).

729938498121 is a wasteful number, since it uses less digits than its factorization.

729938498121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1125 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 729938498121 in words is "seven hundred twenty-nine billion, nine hundred thirty-eight million, four hundred ninety-eight thousand, one hundred twenty-one".