29915659969441 has 9 divisors (see below), whose sum is σ = 30051637731921. Its totient is φ = 29780294794212.

The previous prime is 29915659969421. The next prime is 29915659969501. The reversal of 29915659969441 is 14496995651992.

It is a happy number.

The square root of 29915659969441 is 5469521.

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

It is not a de Polignac number, because 29915659969441 - 2¹¹ = 29915659967393 is a prime.

It is a super-2 number, since 2×29915659969441² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29915659969421) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1219690920 + ... + 1219715446.

Almost surely, 2^{29915659969441} is an apocalyptic number.

29915659969441 is the 5469521-st square number.

29915659969441 is the 2734761-st centered octagonal number.

It is an amenable number.

29915659969441 is a deficient number, since it is larger than the sum of its proper divisors (135977762480).

29915659969441 is an frugal number, since it uses more digits than its factorization.

29915659969441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49500 (or 24750 counting only the distinct ones).

The product of its digits is 1700611200, while the sum is 79.

The spelling of 29915659969441 in words is "twenty-nine trillion, nine hundred fifteen billion, six hundred fifty-nine million, nine hundred sixty-nine thousand, four hundred forty-one".