29338591413121 has 9 divisors (see below), whose sum is σ = 29373075462531. Its totient is φ = 29304147819672.

The previous prime is 29338591413041. The next prime is 29338591413137. The reversal of 29338591413121 is 12131419583392.

The square root of 29338591413121 is 5416511.

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

It can be written as a sum of positive squares in only one way, i.e., 57895578225 + 29280695834896 = 240615^2 + 5411164^2 .

It is not a de Polignac number, because 29338591413121 - 2¹³ = 29338591404929 is a prime.

It is a super-2 number, since 2×29338591413121² (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 (29338591413191) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5486922970 + ... + 5486928316.

Almost surely, 2^{29338591413121} is an apocalyptic number.

29338591413121 is the 5416511-st square number.

29338591413121 is the 2708256-th centered octagonal number.

It is an amenable number.

29338591413121 is a deficient number, since it is larger than the sum of its proper divisors (34484049410).

29338591413121 is an frugal number, since it uses more digits than its factorization.

29338591413121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12720 (or 6360 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 52.

The spelling of 29338591413121 in words is "twenty-nine trillion, three hundred thirty-eight billion, five hundred ninety-one million, four hundred thirteen thousand, one hundred twenty-one".