29031416064 has 504 divisors, whose sum is σ = 101016703872. Its totient is φ = 8151736320.

The previous prime is 29031416009. The next prime is 29031416081. The reversal of 29031416064 is 46061413092.

29031416064 is a `hidden beast` number, since 2 + 9 + 0 + 3 + 1 + 41 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 92751972 + ... + 92752284.

It is an arithmetic number, because the mean of its divisors is an integer number (200429968).

Almost surely, 2^29031416064 is an apocalyptic number.

29031416064 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 29031416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50508351936).

29031416064 is an abundant number, since it is smaller than the sum of its proper divisors (71985287808).

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

29031416064 is an frugal number, since it uses more digits than its factorization.

29031416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 29031416064 in words is "twenty-nine billion, thirty-one million, four hundred sixteen thousand, sixty-four".