1004916857472 has 192 divisors, whose sum is σ = 3214163216160. Its totient is φ = 298774394880.

The previous prime is 1004916857467. The next prime is 1004916857519. The reversal of 1004916857472 is 2747586194001.

1004916857472 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 9 + 1 + 68 + 574 + 7 + 2 = 666.

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

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, 76518 + ... + 1419749.

Almost surely, 2^{1004916857472} is an apocalyptic number.

1004916857472 is a gapful number since it is divisible by the number (12) 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 1004916857472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607081608080).

1004916857472 is an abundant number, since it is smaller than the sum of its proper divisors (2209246358688).

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

1004916857472 is a wasteful number, since it uses less digits than its factorization.

1004916857472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496351 (or 1496336 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1004916857472 in words is "one trillion, four billion, nine hundred sixteen million, eight hundred fifty-seven thousand, four hundred seventy-two".