166960613912976 has 405 divisors, whose sum is σ = 511180153938441. Its totient is φ = 50848407687168.

The previous prime is 166960613912893. The next prime is 166960613913061. The reversal of 166960613912976 is 679219316069661.

The square root of 166960613912976 is 12921324.

It is a perfect power (a square), and thus also a powerful number.

166960613912976 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 606 + 1 + 3 + 9 + 1 + 2 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 143984160435600 + 22976453477376 = 11999340^2 + 4793376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 227777099106 + ... + 227777099838.

Almost surely, 2^{166960613912976} is an apocalyptic number.

166960613912976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

166960613912976 is the 12921324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166960613912976

166960613912976 is an abundant number, since it is smaller than the sum of its proper divisors (344219540025465).

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

166960613912976 is an equidigital number, since it uses as much as digits as its factorization.

166960613912976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 72.

The spelling of 166960613912976 in words is "one hundred sixty-six trillion, nine hundred sixty billion, six hundred thirteen million, nine hundred twelve thousand, nine hundred seventy-six".