29845142976 has 224 divisors, whose sum is σ = 90151354368. Its totient is φ = 8625576960.

The previous prime is 29845142947. The next prime is 29845143011. The reversal of 29845142976 is 67924154892.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22490025 + ... + 22491351.

Almost surely, 2^29845142976 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 29845142976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45075677184).

29845142976 is an abundant number, since it is smaller than the sum of its proper divisors (60306211392).

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

29845142976 is a wasteful number, since it uses less digits than its factorization.

29845142976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1829 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The spelling of 29845142976 in words is "twenty-nine billion, eight hundred forty-five million, one hundred forty-two thousand, nine hundred seventy-six".