10488344832 has 288 divisors, whose sum is σ = 35634278400. Its totient is φ = 2980841472.

The previous prime is 10488344809. The next prime is 10488344879. The reversal of 10488344832 is 23844388401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10488344832² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11563323 + ... + 11564229.

Almost surely, 2^10488344832 is an apocalyptic number.

10488344832 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 10488344832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17817139200).

10488344832 is an abundant number, since it is smaller than the sum of its proper divisors (25145933568).

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

10488344832 is an equidigital number, since it uses as much as digits as its factorization.

10488344832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 10488344832 in words is "ten billion, four hundred eighty-eight million, three hundred forty-four thousand, eight hundred thirty-two".