166077346410000 has 2025 divisors, whose sum is σ = 634595036476401. Its totient is φ = 42088237632000.

The previous prime is 166077346409971. The next prime is 166077346410007. The reversal of 166077346410000 is 14643770661.

The square root of 166077346410000 is 12887100.

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

166077346410000 is a `hidden beast` number, since 1 + 6 + 607 + 7 + 34 + 6 + 4 + 1 + 0 + 0 + 0 + 0 = 666.

166077346410000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 55141852171536 + 110935494238464 = 7425756^2 + 10532592^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (166077346410007) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 3862263869979 + ... + 3862263870021.

Almost surely, 2^{166077346410000} is an apocalyptic number.

166077346410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166077346410000 is the 12887100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166077346410000

166077346410000 is an abundant number, since it is smaller than the sum of its proper divisors (468517690066401).

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

166077346410000 is an frugal number, since it uses more digits than its factorization.

166077346410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 166077346410000 in words is "one hundred sixty-six trillion, seventy-seven billion, three hundred forty-six million, four hundred ten thousand".