10482630144 has 480 divisors, whose sum is σ = 35481895680. Its totient is φ = 2686058496.

The previous prime is 10482630143. The next prime is 10482630149. The reversal of 10482630144 is 44103628401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10482630143) 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, 108068304 + ... + 108068400.

It is an arithmetic number, because the mean of its divisors is an integer number (73920616).

Almost surely, 2^10482630144 is an apocalyptic number.

10482630144 is a gapful number since it is divisible by the number (14) 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 10482630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740947840).

10482630144 is an abundant number, since it is smaller than the sum of its proper divisors (24999265536).

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

10482630144 is an equidigital number, since it uses as much as digits as its factorization.

10482630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 10482630144 in words is "ten billion, four hundred eighty-two million, six hundred thirty thousand, one hundred forty-four".