166788681357312 has 1152 divisors, whose sum is σ = 579228253793280. Its totient is φ = 45206364487680.

The previous prime is 166788681357203. The next prime is 166788681357313. The reversal of 166788681357312 is 213753186887661.

166788681357312 is a `hidden beast` number, since 1 + 66 + 78 + 86 + 81 + 35 + 7 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166788681357313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272085939918 + ... + 272085940530.

It is an arithmetic number, because the mean of its divisors is an integer number (502802303640).

Almost surely, 2^{166788681357312} is an apocalyptic number.

166788681357312 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 166788681357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289614126896640).

166788681357312 is an abundant number, since it is smaller than the sum of its proper divisors (412439572435968).

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

166788681357312 is a wasteful number, since it uses less digits than its factorization.

166788681357312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1256 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 166788681357312 in words is "one hundred sixty-six trillion, seven hundred eighty-eight billion, six hundred eighty-one million, three hundred fifty-seven thousand, three hundred twelve".