166945788100 has 243 divisors, whose sum is σ = 457347893877. Its totient is φ = 52717916160.

The previous prime is 166945788067. The next prime is 166945788101. The reversal of 166945788100 is 1887549661.

The square root of 166945788100 is 408590.

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

It can be written as a sum of positive squares in 13 ways, for example, as 145681149124 + 21264638976 = 381682^2 + 145824^2 .

It is a super-2 number, since 2×166945788100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166945788101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 371816676 + ... + 371817124.

Almost surely, 2^166945788100 is an apocalyptic number.

166945788100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166945788100 is the 408590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166945788100

166945788100 is an abundant number, since it is smaller than the sum of its proper divisors (290402105777).

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

166945788100 is a wasteful number, since it uses less digits than its factorization.

166945788100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 166945788100 in words is "one hundred sixty-six billion, nine hundred forty-five million, seven hundred eighty-eight thousand, one hundred".