166107938996736 has 800 divisors, whose sum is σ = 543430771918848. Its totient is φ = 50097167400960.

The previous prime is 166107938996731. The next prime is 166107938996737. The reversal of 166107938996736 is 637699839701661.

166107938996736 is a `hidden beast` number, since 1 + 6 + 6 + 10 + 79 + 389 + 96 + 73 + 6 = 666.

166107938996736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (166107938996731) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 128070885240 + ... + 128070886536.

Almost surely, 2^{166107938996736} is an apocalyptic number.

166107938996736 is a gapful number since it is divisible by the number (16) 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 166107938996736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271715385959424).

166107938996736 is an abundant number, since it is smaller than the sum of its proper divisors (377322832922112).

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

166107938996736 is a wasteful number, since it uses less digits than its factorization.

166107938996736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 3333197952, while the sum is 81.

The spelling of 166107938996736 in words is "one hundred sixty-six trillion, one hundred seven billion, nine hundred thirty-eight million, nine hundred ninety-six thousand, seven hundred thirty-six".