31066114805712 has 800 divisors, whose sum is σ = 107740607969280. Its totient is φ = 8454683059200.

The previous prime is 31066114805689. The next prime is 31066114805729. The reversal of 31066114805712 is 21750841166013.

31066114805712 is a `hidden beast` number, since 3 + 1 + 0 + 6 + 61 + 14 + 8 + 0 + 571 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7668750087 + ... + 7668754137.

Almost surely, 2^{31066114805712} 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 31066114805712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53870303984640).

31066114805712 is an abundant number, since it is smaller than the sum of its proper divisors (76674493163568).

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

31066114805712 is a wasteful number, since it uses less digits than its factorization.

31066114805712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 31066114805712 in words is "thirty-one trillion, sixty-six billion, one hundred fourteen million, eight hundred five thousand, seven hundred twelve".