1448045026128 has 800 divisors, whose sum is σ = 4802182640640. Its totient is φ = 418490634240.

The previous prime is 1448045026091. The next prime is 1448045026133. The reversal of 1448045026128 is 8216205408441.

1448045026128 is a `hidden beast` number, since 1 + 4 + 4 + 80 + 4 + 502 + 61 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2466856651 + ... + 2466857237.

Almost surely, 2^{1448045026128} is an apocalyptic number.

1448045026128 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 1448045026128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401091320320).

1448045026128 is an abundant number, since it is smaller than the sum of its proper divisors (3354137614512).

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

1448045026128 is a wasteful number, since it uses less digits than its factorization.

1448045026128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1448045026128 in words is "one trillion, four hundred forty-eight billion, forty-five million, twenty-six thousand, one hundred twenty-eight".