1444917893952 has 224 divisors, whose sum is σ = 4335368235520. Its totient is φ = 421036185600.

The previous prime is 1444917893879. The next prime is 1444917893959. The reversal of 1444917893952 is 2593987194441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444917893959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223980327 + ... + 223986777.

It is an arithmetic number, because the mean of its divisors is an integer number (19354322480).

Almost surely, 2^{1444917893952} is an apocalyptic number.

1444917893952 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 1444917893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167684117760).

1444917893952 is an abundant number, since it is smaller than the sum of its proper divisors (2890450341568).

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

1444917893952 is a wasteful number, since it uses less digits than its factorization.

1444917893952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11221 (or 11211 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 66.

The spelling of 1444917893952 in words is "one trillion, four hundred forty-four billion, nine hundred seventeen million, eight hundred ninety-three thousand, nine hundred fifty-two".