2166231671712 has 192 divisors, whose sum is σ = 6690544358400. Its totient is φ = 679976052480.

The previous prime is 2166231671687. The next prime is 2166231671741. The reversal of 2166231671712 is 2171761326612.

2166231671712 is a `hidden beast` number, since 2 + 1 + 6 + 623 + 1 + 6 + 7 + 1 + 7 + 12 = 666.

It is a super-2 number, since 2×2166231671712² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2346387 + ... + 3136557.

It is an arithmetic number, because the mean of its divisors is an integer number (34846585200).

Almost surely, 2^{2166231671712} 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 2166231671712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345272179200).

2166231671712 is an abundant number, since it is smaller than the sum of its proper divisors (4524312686688).

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

2166231671712 is a wasteful number, since it uses less digits than its factorization.

2166231671712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790376 (or 790362 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 2166231671712 in words is "two trillion, one hundred sixty-six billion, two hundred thirty-one million, six hundred seventy-one thousand, seven hundred twelve".