1045939824864 has 360 divisors, whose sum is σ = 3396143769480. Its totient is φ = 315545725440.

The previous prime is 1045939824847. The next prime is 1045939824887. The reversal of 1045939824864 is 4684289395401.

1045939824864 is a `hidden beast` number, since 1 + 0 + 45 + 9 + 39 + 82 + 486 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 71814447 + ... + 71829009.

It is an arithmetic number, because the mean of its divisors is an integer number (9433732693).

Almost surely, 2^{1045939824864} 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 1045939824864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698071884740).

1045939824864 is an abundant number, since it is smaller than the sum of its proper divisors (2350203944616).

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

1045939824864 is a wasteful number, since it uses less digits than its factorization.

1045939824864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14836 (or 14808 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 1045939824864 in words is "one trillion, forty-five billion, nine hundred thirty-nine million, eight hundred twenty-four thousand, eight hundred sixty-four".