10145412552444 has 192 divisors, whose sum is σ = 26054265323520. Its totient is φ = 3053391344640.

The previous prime is 10145412552421. The next prime is 10145412552461. The reversal of 10145412552444 is 44425521454101.

It is a junction number, because it is equal to n+sod(n) for n = 10145412552396 and 10145412552405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5670995502 + ... + 5670997290.

It is an arithmetic number, because the mean of its divisors is an integer number (135699298560).

Almost surely, 2^{10145412552444} 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 10145412552444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13027132661760).

10145412552444 is an abundant number, since it is smaller than the sum of its proper divisors (15908852771076).

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

10145412552444 is a wasteful number, since it uses less digits than its factorization.

10145412552444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 42.

The spelling of 10145412552444 in words is "ten trillion, one hundred forty-five billion, four hundred twelve million, five hundred fifty-two thousand, four hundred forty-four".