10468844352 has 336 divisors, whose sum is σ = 33284160000. Its totient is φ = 3252856320.

The previous prime is 10468844327. The next prime is 10468844359. The reversal of 10468844352 is 25344886401.

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 a junction number, because it is equal to n+sod(n) for n = 10468844298 and 10468844307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10468844359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20979399 + ... + 20979897.

It is an arithmetic number, because the mean of its divisors is an integer number (99060000).

Almost surely, 2^10468844352 is an apocalyptic number.

10468844352 is a gapful number since it is divisible by the number (12) 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 10468844352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080000).

10468844352 is an abundant number, since it is smaller than the sum of its proper divisors (22815315648).

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

10468844352 is an equidigital number, since it uses as much as digits as its factorization.

10468844352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 10468844352 in words is "ten billion, four hundred sixty-eight million, eight hundred forty-four thousand, three hundred fifty-two".