1045393881984 has 192 divisors, whose sum is σ = 3125693610000. Its totient is φ = 334964023296.

The previous prime is 1045393881979. The next prime is 1045393881997. The reversal of 1045393881984 is 4891883935401.

1045393881984 is a `hidden beast` number, since 1 + 0 + 4 + 539 + 3 + 8 + 8 + 1 + 98 + 4 = 666.

1045393881984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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, 7514692 + ... + 7652540.

Almost surely, 2^{1045393881984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045393881984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562846805000).

1045393881984 is an abundant number, since it is smaller than the sum of its proper divisors (2080299728016).

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

1045393881984 is a wasteful number, since it uses less digits than its factorization.

1045393881984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138125 (or 138110 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 1045393881984 in words is "one trillion, forty-five billion, three hundred ninety-three million, eight hundred eighty-one thousand, nine hundred eighty-four".