166416204004251 has 16 divisors (see below), whose sum is σ = 222184817464320. Its totient is φ = 110795907736800.

The previous prime is 166416204004199. The next prime is 166416204004291. The reversal of 166416204004251 is 152400402614661.

It is a happy number.

It is not a de Polignac number, because 166416204004251 - 2⁷ = 166416204004123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (166416204004291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9425526 + ... + 20534676.

It is an arithmetic number, because the mean of its divisors is an integer number (13886551091520).

Almost surely, 2^{166416204004251} is an apocalyptic number.

166416204004251 is a deficient number, since it is larger than the sum of its proper divisors (55768613460069).

166416204004251 is a wasteful number, since it uses less digits than its factorization.

166416204004251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11115826.

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 166416204004251 in words is "one hundred sixty-six trillion, four hundred sixteen billion, two hundred four million, four thousand, two hundred fifty-one".