29452006133568 has 224 divisors, whose sum is σ = 88081971582720. Its totient is φ = 9648381173760.

The previous prime is 29452006133551. The next prime is 29452006133569. The reversal of 29452006133568 is 86533160025492.

It is a happy number.

29452006133568 is a `hidden beast` number, since 2 + 9 + 4 + 520 + 0 + 61 + 3 + 3 + 56 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29452006133569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35031021 + ... + 35861907.

Almost surely, 2^{29452006133568} 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 29452006133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44040985791360).

29452006133568 is an abundant number, since it is smaller than the sum of its proper divisors (58629965449152).

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

29452006133568 is a wasteful number, since it uses less digits than its factorization.

29452006133568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831262 (or 831246 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 29452006133568 in words is "twenty-nine trillion, four hundred fifty-two billion, six million, one hundred thirty-three thousand, five hundred sixty-eight".