166536117664 has 48 divisors (see below), whose sum is σ = 390997853568. Its totient is φ = 68269462272.

The previous prime is 166536117589. The next prime is 166536117673. The reversal of 166536117664 is 466711635661.

166536117664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16157127 + ... + 16167430.

It is an arithmetic number, because the mean of its divisors is an integer number (8145788616).

Almost surely, 2^166536117664 is an apocalyptic number.

166536117664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

166536117664 is an abundant number, since it is smaller than the sum of its proper divisors (224461735904).

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

166536117664 is a wasteful number, since it uses less digits than its factorization.

166536117664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32324597 (or 32324589 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The spelling of 166536117664 in words is "one hundred sixty-six billion, five hundred thirty-six million, one hundred seventeen thousand, six hundred sixty-four".