29148702401 has 192 divisors, whose sum is σ = 43031761920. Its totient is φ = 19188449280.

The previous prime is 29148702371. The next prime is 29148702409. The reversal of 29148702401 is 10420784192.

It is a happy number.

It is not a de Polignac number, because 29148702401 - 2¹⁰ = 29148701377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29148702409) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 549975491 + ... + 549975543.

It is an arithmetic number, because the mean of its divisors is an integer number (224123760).

Almost surely, 2^29148702401 is an apocalyptic number.

It is an amenable number.

29148702401 is a deficient number, since it is larger than the sum of its proper divisors (13883059519).

29148702401 is a wasteful number, since it uses less digits than its factorization.

29148702401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 29148702401 in words is "twenty-nine billion, one hundred forty-eight million, seven hundred two thousand, four hundred one".