29993702414959 has 8 divisors (see below), whose sum is σ = 30002833802240. Its totient is φ = 29984571430200.

The previous prime is 29993702414957. The next prime is 29993702414969. The reversal of 29993702414959 is 95941420739992.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 29993702414959 - 2¹ = 29993702414957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29993702414891 and 29993702414900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29993702414957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221270014 + ... + 221405524.

It is an arithmetic number, because the mean of its divisors is an integer number (3750354225280).

Almost surely, 2^{29993702414959} is an apocalyptic number.

29993702414959 is a deficient number, since it is larger than the sum of its proper divisors (9131387281).

29993702414959 is a wasteful number, since it uses less digits than its factorization.

29993702414959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201261.

The product of its (nonzero) digits is 396809280, while the sum is 73.

The spelling of 29993702414959 in words is "twenty-nine trillion, nine hundred ninety-three billion, seven hundred two million, four hundred fourteen thousand, nine hundred fifty-nine".