10144454432 has 96 divisors (see below), whose sum is σ = 23369472000. Its totient is φ = 4244394240.

The previous prime is 10144454399. The next prime is 10144454473. The reversal of 10144454432 is 23445444101.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 5252507 + ... + 5254437.

It is an arithmetic number, because the mean of its divisors is an integer number (243432000).

Almost surely, 2^10144454432 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 10144454432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11684736000).

10144454432 is an abundant number, since it is smaller than the sum of its proper divisors (13225017568).

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

10144454432 is a wasteful number, since it uses less digits than its factorization.

10144454432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 10144454432 its reverse (23445444101), we get a palindrome (33589898533).

The spelling of 10144454432 in words is "ten billion, one hundred forty-four million, four hundred fifty-four thousand, four hundred thirty-two".