29129694048 has 864 divisors, whose sum is σ = 111837529440. Its totient is φ = 7106641920.

The previous prime is 29129694047. The next prime is 29129694049. The reversal of 29129694048 is 84049692192.

It is an interprime number because it is at equal distance from previous prime (29129694047) and next prime (29129694049).

It is a junction number, because it is equal to n+sod(n) for n = 29129693985 and 29129694003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29129694047) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212625436 + ... + 212625572.

It is an arithmetic number, because the mean of its divisors is an integer number (129441585).

Almost surely, 2^29129694048 is an apocalyptic number.

29129694048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29129694048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55918764720).

29129694048 is an abundant number, since it is smaller than the sum of its proper divisors (82707835392).

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

29129694048 is a wasteful number, since it uses less digits than its factorization.

29129694048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 29129694048 in words is "twenty-nine billion, one hundred twenty-nine million, six hundred ninety-four thousand, forty-eight".