29964974401 has 16 divisors (see below), whose sum is σ = 32639932800. Its totient is φ = 27393949440.

The previous prime is 29964974399. The next prime is 29964974407. The reversal of 29964974401 is 10447946992.

It is a cyclic number.

It is not a de Polignac number, because 29964974401 - 2¹ = 29964974399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29964974407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337006 + ... + 416536.

It is an arithmetic number, because the mean of its divisors is an integer number (2039995800).

Almost surely, 2^29964974401 is an apocalyptic number.

It is an amenable number.

29964974401 is a deficient number, since it is larger than the sum of its proper divisors (2674958399).

29964974401 is a wasteful number, since it uses less digits than its factorization.

29964974401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80184.

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 29964974401 in words is "twenty-nine billion, nine hundred sixty-four million, nine hundred seventy-four thousand, four hundred one".