1448044868000 has 192 divisors, whose sum is σ = 3577404579840. Its totient is φ = 576043776000.

The previous prime is 1448044867981. The next prime is 1448044868009. The reversal of 1448044868000 is 8684408441.

It is a happy number.

It is a super-2 number, since 2×1448044868000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1448044868009) 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, 626586845 + ... + 626589155.

It is an arithmetic number, because the mean of its divisors is an integer number (18632315520).

Almost surely, 2^{1448044868000} is an apocalyptic number.

1448044868000 is a gapful number since it is divisible by the number (10) 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 1448044868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788702289920).

1448044868000 is an abundant number, since it is smaller than the sum of its proper divisors (2129359711840).

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

1448044868000 is a wasteful number, since it uses less digits than its factorization.

1448044868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 47.

The spelling of 1448044868000 in words is "one trillion, four hundred forty-eight billion, forty-four million, eight hundred sixty-eight thousand".