10084094963712 has 1456 divisors, whose sum is σ = 38366528670720. Its totient is φ = 2572723814400.

The previous prime is 10084094963687. The next prime is 10084094963729. The reversal of 10084094963712 is 21736949048001.

10084094963712 is a `hidden beast` number, since 1 + 0 + 0 + 84 + 0 + 9 + 496 + 3 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14025166489 + ... + 14025167207.

Almost surely, 2^{10084094963712} is an apocalyptic number.

10084094963712 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 10084094963712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19183264335360).

10084094963712 is an abundant number, since it is smaller than the sum of its proper divisors (28282433707008).

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

10084094963712 is an frugal number, since it uses more digits than its factorization.

10084094963712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10084094963712 in words is "ten trillion, eighty-four billion, ninety-four million, nine hundred sixty-three thousand, seven hundred twelve".