29198165455368 has 512 divisors, whose sum is σ = 102067467264000. Its totient is φ = 7528968299520.

The previous prime is 29198165455357. The next prime is 29198165455373. The reversal of 29198165455368 is 86355456189192.

29198165455368 is a `hidden beast` number, since 2 + 9 + 1 + 9 + 8 + 1 + 6 + 5 + 4 + 553 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 29198165455296 and 29198165455305.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200162763 + ... + 200308581.

It is an arithmetic number, because the mean of its divisors is an integer number (199350522000).

Almost surely, 2^{29198165455368} is an apocalyptic number.

29198165455368 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 29198165455368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51033733632000).

29198165455368 is an abundant number, since it is smaller than the sum of its proper divisors (72869301808632).

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

29198165455368 is a wasteful number, since it uses less digits than its factorization.

29198165455368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146082 (or 146072 counting only the distinct ones).

The product of its digits is 559872000, while the sum is 72.

The spelling of 29198165455368 in words is "twenty-nine trillion, one hundred ninety-eight billion, one hundred sixty-five million, four hundred fifty-five thousand, three hundred sixty-eight".