29993382374017 has 32 divisors (see below), whose sum is σ = 30693538197504. Its totient is φ = 29303717587200.

The previous prime is 29993382374003. The next prime is 29993382374041. The reversal of 29993382374017 is 71047328339992.

It is a de Polignac number, because none of the positive numbers 2^k-29993382374017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29993382374047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720683292 + ... + 1720700722.

It is an arithmetic number, because the mean of its divisors is an integer number (959173068672).

Almost surely, 2^{29993382374017} is an apocalyptic number.

It is an amenable number.

29993382374017 is a deficient number, since it is larger than the sum of its proper divisors (700155823487).

29993382374017 is a wasteful number, since it uses less digits than its factorization.

29993382374017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18349.

The product of its (nonzero) digits is 123451776, while the sum is 67.

The spelling of 29993382374017 in words is "twenty-nine trillion, nine hundred ninety-three billion, three hundred eighty-two million, three hundred seventy-four thousand, seventeen".