29814301264 has 120 divisors (see below), whose sum is σ = 66745103040. Its totient is φ = 12866810880.

The previous prime is 29814301217. The next prime is 29814301271. The reversal of 29814301264 is 46210341892.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6186984 + ... + 6191800.

It is an arithmetic number, because the mean of its divisors is an integer number (556209192).

Almost surely, 2^29814301264 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 29814301264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33372551520).

29814301264 is an abundant number, since it is smaller than the sum of its proper divisors (36930801776).

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

29814301264 is a wasteful number, since it uses less digits than its factorization.

29814301264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 29814301264 in words is "twenty-nine billion, eight hundred fourteen million, three hundred one thousand, two hundred sixty-four".