1043106075648 has 264 divisors, whose sum is σ = 3707013634688. Its totient is φ = 275104677888.

The previous prime is 1043106075637. The next prime is 1043106075653. The reversal of 1043106075648 is 8465706013401.

1043106075648 is a `hidden beast` number, since 1 + 0 + 4 + 31 + 0 + 607 + 5 + 6 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216765 + ... + 1460547.

Almost surely, 2^{1043106075648} is an apocalyptic number.

1043106075648 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 1043106075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853506817344).

1043106075648 is an abundant number, since it is smaller than the sum of its proper divisors (2663907559040).

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

1043106075648 is a wasteful number, since it uses less digits than its factorization.

1043106075648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243829 (or 1243808 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1043106075648 in words is "one trillion, forty-three billion, one hundred six million, seventy-five thousand, six hundred forty-eight".