29491814016 has 512 divisors, whose sum is σ = 104030208000. Its totient is φ = 8047226880.

The previous prime is 29491813999. The next prime is 29491814039. The reversal of 29491814016 is 61041819492.

It is a happy number.

29491814016 is a `hidden beast` number, since 2 + 9 + 491 + 8 + 140 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89098971 + ... + 89099301.

It is an arithmetic number, because the mean of its divisors is an integer number (203184000).

Almost surely, 2^29491814016 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 29491814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52015104000).

29491814016 is an abundant number, since it is smaller than the sum of its proper divisors (74538393984).

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

29491814016 is a wasteful number, since it uses less digits than its factorization.

29491814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 29491814016 in words is "twenty-nine billion, four hundred ninety-one million, eight hundred fourteen thousand, sixteen".