29013497344048 has 80 divisors (see below), whose sum is σ = 65345220495360. Its totient is φ = 12221328457728.

The previous prime is 29013497344037. The next prime is 29013497344147. The reversal of 29013497344048 is 84044379431092.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 29013497343983 and 29013497344001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35323440 + ... + 36135472.

It is an arithmetic number, because the mean of its divisors is an integer number (816815256192).

Almost surely, 2^{29013497344048} is an apocalyptic number.

29013497344048 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 29013497344048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32672610247680).

29013497344048 is an abundant number, since it is smaller than the sum of its proper divisors (36331723151312).

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

29013497344048 is a wasteful number, since it uses less digits than its factorization.

29013497344048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817514 (or 817508 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 58.

The spelling of 29013497344048 in words is "twenty-nine trillion, thirteen billion, four hundred ninety-seven million, three hundred forty-four thousand, forty-eight".