1445879439648 has 576 divisors, whose sum is σ = 5224159100160. Its totient is φ = 369780719616.

The previous prime is 1445879439647. The next prime is 1445879439703. The reversal of 1445879439648 is 8469349785441.

1445879439648 is a `hidden beast` number, since 1 + 4 + 4 + 587 + 9 + 4 + 39 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1445879439647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66579640 + ... + 66601352.

It is an arithmetic number, because the mean of its divisors is an integer number (9069720660).

Almost surely, 2^{1445879439648} is an apocalyptic number.

1445879439648 is a gapful number since it is divisible by the number (18) 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 1445879439648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612079550080).

1445879439648 is an abundant number, since it is smaller than the sum of its proper divisors (3778279660512).

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

1445879439648 is a wasteful number, since it uses less digits than its factorization.

1445879439648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21849 (or 21838 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 1445879439648 in words is "one trillion, four hundred forty-five billion, eight hundred seventy-nine million, four hundred thirty-nine thousand, six hundred forty-eight".