29325821814 has 96 divisors (see below), whose sum is σ = 70991912160. Its totient is φ = 8694604800.

The previous prime is 29325821803. The next prime is 29325821839. The reversal of 29325821814 is 41812852392.

29325821814 is a `hidden beast` number, since 29 + 32 + 582 + 1 + 8 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 29325821814.

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, 2441704 + ... + 2453684.

It is an arithmetic number, because the mean of its divisors is an integer number (739499085).

Almost surely, 2^29325821814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29325821814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35495956080).

29325821814 is an abundant number, since it is smaller than the sum of its proper divisors (41666090346).

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

29325821814 is a wasteful number, since it uses less digits than its factorization.

29325821814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446 (or 12443 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 29325821814 in words is "twenty-nine billion, three hundred twenty-five million, eight hundred twenty-one thousand, eight hundred fourteen".