29449381883904 has 416 divisors, whose sum is σ = 87860026275840. Its totient is φ = 9747700973568.

The previous prime is 29449381883767. The next prime is 29449381883921. The reversal of 29449381883904 is 40938818394492.

29449381883904 is a `hidden beast` number, since 2 + 9 + 449 + 3 + 8 + 18 + 83 + 90 + 4 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 11517160194 + ... + 11517162750.

It is an arithmetic number, because the mean of its divisors is an integer number (211201986240).

Almost surely, 2^{29449381883904} is an apocalyptic number.

29449381883904 is a gapful number since it is divisible by the number (24) 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 29449381883904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43930013137920).

29449381883904 is an abundant number, since it is smaller than the sum of its proper divisors (58410644391936).

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

29449381883904 is a wasteful number, since it uses less digits than its factorization.

29449381883904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 29449381883904 in words is "twenty-nine trillion, four hundred forty-nine billion, three hundred eighty-one million, eight hundred eighty-three thousand, nine hundred four".