10444364416512 has 240 divisors, whose sum is σ = 32497805580240. Its totient is φ = 3210090725376.

The previous prime is 10444364416483. The next prime is 10444364416513. The reversal of 10444364416512 is 21561446344401.

It is a happy number.

10444364416512 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 436 + 44 + 165 + 12 = 666.

It is a super-2 number, since 2×10444364416512² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444364416513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54236814 + ... + 54429042.

It is an arithmetic number, because the mean of its divisors is an integer number (135407523251).

Almost surely, 2^{10444364416512} is an apocalyptic number.

10444364416512 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 10444364416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248902790120).

10444364416512 is an abundant number, since it is smaller than the sum of its proper divisors (22053441163728).

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

10444364416512 is a wasteful number, since it uses less digits than its factorization.

10444364416512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193173 (or 193154 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 10444364416512 in words is "ten trillion, four hundred forty-four billion, three hundred sixty-four million, four hundred sixteen thousand, five hundred twelve".