29898413456598 has 96 divisors (see below), whose sum is σ = 69532993770240. Its totient is φ = 9256571628480.

The previous prime is 29898413456539. The next prime is 29898413456651. The reversal of 29898413456598 is 89565431489892.

29898413456598 is a `hidden beast` number, since 2 + 9 + 8 + 9 + 8 + 4 + 13 + 4 + 5 + 6 + 598 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4070511 + ... + 8738757.

It is an arithmetic number, because the mean of its divisors is an integer number (724302018440).

Almost surely, 2^{29898413456598} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29898413456598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34766496885120).

29898413456598 is an abundant number, since it is smaller than the sum of its proper divisors (39634580313642).

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

29898413456598 is a wasteful number, since it uses less digits than its factorization.

29898413456598 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668642 (or 4668639 counting only the distinct ones).

The product of its digits is 5374771200, while the sum is 81.

The spelling of 29898413456598 in words is "twenty-nine trillion, eight hundred ninety-eight billion, four hundred thirteen million, four hundred fifty-six thousand, five hundred ninety-eight".