29868968493001 has 9 divisors (see below), whose sum is σ = 32831246324359. Its totient is φ = 27153553068400.

The previous prime is 29868968492983. The next prime is 29868968493253. The reversal of 29868968493001 is 10039486986892.

The square root of 29868968493001 is 5465251.

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., 29575117766601 + 293850726400 = 5438301^2 + 542080^2 .

It is not a de Polignac number, because 29868968493001 - 2⁷ = 29868968492873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29868968493401) 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, 59869341 + ... + 60366181.

Almost surely, 2^{29868968493001} is an apocalyptic number.

29868968493001 is the 5465251-st square number.

29868968493001 is the 2732626-th centered octagonal number.

It is an amenable number.

29868968493001 is a deficient number, since it is larger than the sum of its proper divisors (2962277831358).

29868968493001 is an frugal number, since it uses more digits than its factorization.

29868968493001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993704 (or 496852 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 73.

The spelling of 29868968493001 in words is "twenty-nine trillion, eight hundred sixty-eight billion, nine hundred sixty-eight million, four hundred ninety-three thousand, one".