29398864428468 has 192 divisors, whose sum is σ = 78328915517440. Its totient is φ = 9532436659200.

The previous prime is 29398864428463. The next prime is 29398864428473. The reversal of 29398864428468 is 86482446889392.

29398864428468 is a `hidden beast` number, since 2 + 9 + 3 + 98 + 8 + 6 + 44 + 28 + 468 = 666.

It is an interprime number because it is at equal distance from previous prime (29398864428463) and next prime (29398864428473).

It is a super-2 number, since 2×29398864428468² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29398864428463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261823458 + ... + 261935718.

Almost surely, 2^{29398864428468} 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 29398864428468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39164457758720).

29398864428468 is an abundant number, since it is smaller than the sum of its proper divisors (48930051088972).

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

29398864428468 is a wasteful number, since it uses less digits than its factorization.

29398864428468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112775 (or 112767 counting only the distinct ones).

The product of its digits is 9172942848, while the sum is 81.

The spelling of 29398864428468 in words is "twenty-nine trillion, three hundred ninety-eight billion, eight hundred sixty-four million, four hundred twenty-eight thousand, four hundred sixty-eight".