10029446856 has 384 divisors, whose sum is σ = 33902668800. Its totient is φ = 2633264640.

The previous prime is 10029446849. The next prime is 10029446857. The reversal of 10029446856 is 65864492001.

10029446856 is a `hidden beast` number, since 100 + 29 + 446 + 85 + 6 = 666.

10029446856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10029446857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32669055 + ... + 32669361.

It is an arithmetic number, because the mean of its divisors is an integer number (88288200).

Almost surely, 2^10029446856 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 10029446856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16951334400).

10029446856 is an abundant number, since it is smaller than the sum of its proper divisors (23873221944).

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

10029446856 is a wasteful number, since it uses less digits than its factorization.

10029446856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10029446856 in words is "ten billion, twenty-nine million, four hundred forty-six thousand, eight hundred fifty-six".