29974913328 has 160 divisors (see below), whose sum is σ = 81129664512. Its totient is φ = 9525657600.

The previous prime is 29974913317. The next prime is 29974913347. The reversal of 29974913328 is 82331947992.

It is a super-2 number, since 2×29974913328² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 39388468 + ... + 39389228.

Almost surely, 2^29974913328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29974913328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40564832256).

29974913328 is an abundant number, since it is smaller than the sum of its proper divisors (51154751184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29974913328 is a wasteful number, since it uses less digits than its factorization.

29974913328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1157 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 57.

The spelling of 29974913328 in words is "twenty-nine billion, nine hundred seventy-four million, nine hundred thirteen thousand, three hundred twenty-eight".