29914032864 has 48 divisors (see below), whose sum is σ = 83143419408. Its totient is φ = 9384794112.

The previous prime is 29914032859. The next prime is 29914032871. The reversal of 29914032864 is 46823041992.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9163207 + ... + 9166470.

It is an arithmetic number, because the mean of its divisors is an integer number (1732154571).

Almost surely, 2^29914032864 is an apocalyptic number.

29914032864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29914032864 is an abundant number, since it is smaller than the sum of its proper divisors (53229386544).

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

29914032864 is a wasteful number, since it uses less digits than its factorization.

29914032864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18329707 (or 18329699 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 29914032864 in words is "twenty-nine billion, nine hundred fourteen million, thirty-two thousand, eight hundred sixty-four".