166505135401444 has 48 divisors (see below), whose sum is σ = 336340428552576. Its totient is φ = 70652803346400.

The previous prime is 166505135401417. The next prime is 166505135401487. The reversal of 166505135401444 is 444104531505661.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25962567 + ... + 31734289.

It is an arithmetic number, because the mean of its divisors is an integer number (7007092261512).

Almost surely, 2^{166505135401444} is an apocalyptic number.

166505135401444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

166505135401444 is an abundant number, since it is smaller than the sum of its proper divisors (169835293151132).

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

166505135401444 is an frugal number, since it uses more digits than its factorization.

166505135401444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772037 (or 5771833 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 49.

The spelling of 166505135401444 in words is "one hundred sixty-six trillion, five hundred five billion, one hundred thirty-five million, four hundred one thousand, four hundred forty-four".