29460197117952 has 208 divisors, whose sum is σ = 87361426344960. Its totient is φ = 9810771148800.

The previous prime is 29460197117947. The next prime is 29460197117963. The reversal of 29460197117952 is 25971179106492.

29460197117952 is a `hidden beast` number, since 2 + 9 + 4 + 601 + 9 + 7 + 1 + 17 + 9 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 29460197117952.

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, 117212577 + ... + 117463647.

Almost surely, 2^{29460197117952} 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 29460197117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43680713172480).

29460197117952 is an abundant number, since it is smaller than the sum of its proper divisors (57901229227008).

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

29460197117952 is a wasteful number, since it uses less digits than its factorization.

29460197117952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252165 (or 252137 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 29460197117952 in words is "twenty-nine trillion, four hundred sixty billion, one hundred ninety-seven million, one hundred seventeen thousand, nine hundred fifty-two".