29914418072 has 96 divisors (see below), whose sum is σ = 72181808640. Its totient is φ = 11490696000.

The previous prime is 29914418069. The next prime is 29914418081. The reversal of 29914418072 is 27081441992.

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 23 ways as a sum of consecutive naturals, for example, 257297 + ... + 355007.

It is an arithmetic number, because the mean of its divisors is an integer number (751893840).

Almost surely, 2^29914418072 is an apocalyptic number.

29914418072 is a gapful number since it is divisible by the number (22) 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 29914418072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36090904320).

29914418072 is an abundant number, since it is smaller than the sum of its proper divisors (42267390568).

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

29914418072 is a wasteful number, since it uses less digits than its factorization.

29914418072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97813 (or 97802 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 29914418072 in words is "twenty-nine billion, nine hundred fourteen million, four hundred eighteen thousand, seventy-two".