29381063712 has 576 divisors, whose sum is σ = 107845032960. Its totient is φ = 6793113600.

The previous prime is 29381063651. The next prime is 29381063717. The reversal of 29381063712 is 21736018392.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (29381063717) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 36227787 + ... + 36228597.

It is an arithmetic number, because the mean of its divisors is an integer number (187230960).

Almost surely, 2^29381063712 is an apocalyptic number.

29381063712 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 29381063712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53922516480).

29381063712 is an abundant number, since it is smaller than the sum of its proper divisors (78463969248).

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

29381063712 is a wasteful number, since it uses less digits than its factorization.

29381063712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 29381063712 in words is "twenty-nine billion, three hundred eighty-one million, sixty-three thousand, seven hundred twelve".