166706770438656 has 600 divisors, whose sum is σ = 562214182305204. Its totient is φ = 47551361679360.

The previous prime is 166706770438639. The next prime is 166706770438673. The reversal of 166706770438656 is 656834077607661.

166706770438656 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 0 + 67 + 70 + 438 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (166706770438639) and next prime (166706770438673).

It can be written as a sum of positive squares in 2 ways, for example, as 98281051142400 + 68425719296256 = 9913680^2 + 8271984^2 .

It is a super-2 number, since 2×166706770438656² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6826357326 + ... + 6826381746.

Almost surely, 2^{166706770438656} is an apocalyptic number.

166706770438656 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 166706770438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281107091152602).

166706770438656 is an abundant number, since it is smaller than the sum of its proper divisors (395507411866548).

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

166706770438656 is an frugal number, since it uses more digits than its factorization.

166706770438656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25090 (or 25050 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 166706770438656 in words is "one hundred sixty-six trillion, seven hundred six billion, seven hundred seventy million, four hundred thirty-eight thousand, six hundred fifty-six".