10333147968 has 560 divisors, whose sum is σ = 36804087936. Its totient is φ = 2825072640.

The previous prime is 10333147949. The next prime is 10333147973. The reversal of 10333147968 is 86974133301.

10333147968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 39289405 + ... + 39289667.

Almost surely, 2^10333147968 is an apocalyptic number.

10333147968 is a gapful number since it is divisible by the number (18) 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 10333147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18402043968).

10333147968 is an abundant number, since it is smaller than the sum of its proper divisors (26470939968).

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

10333147968 is a wasteful number, since it uses less digits than its factorization.

10333147968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10333147968 in words is "ten billion, three hundred thirty-three million, one hundred forty-seven thousand, nine hundred sixty-eight".