44451344315444 has 192 divisors, whose sum is σ = 92328211584000. Its totient is φ = 18500453283840.

The previous prime is 44451344315423. The next prime is 44451344315449.

44451344315444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44451344315444² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44451344315392 and 44451344315401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44451344315449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1944576887 + ... + 1944599745.

It is an arithmetic number, because the mean of its divisors is an integer number (480876102000).

Almost surely, 2^{44451344315444} is an apocalyptic number.

44451344315444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44451344315444 is an abundant number, since it is smaller than the sum of its proper divisors (47876867268556).

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

44451344315444 is a wasteful number, since it uses less digits than its factorization.

44451344315444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23406 (or 23404 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

The spelling of 44451344315444 in words is "forty-four trillion, four hundred fifty-one billion, three hundred forty-four million, three hundred fifteen thousand, four hundred forty-four".