166584402406125 has 48 divisors (see below), whose sum is σ = 327595799374272. Its totient is φ = 80768195100000.

The previous prime is 166584402406063. The next prime is 166584402406187. The reversal of 166584402406125 is 521604204485661.

It is a happy number.

166584402406125 is a `hidden beast` number, since 1 + 6 + 6 + 58 + 440 + 24 + 0 + 6 + 125 = 666.

166584402406125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166584402406063) and next prime (166584402406187).

It is not a de Polignac number, because 166584402406125 - 2⁹ = 166584402405613 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6730670551 + ... + 6730695300.

It is an arithmetic number, because the mean of its divisors is an integer number (6824912486964).

Almost surely, 2^{166584402406125} is an apocalyptic number.

166584402406125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166584402406125 is a deficient number, since it is larger than the sum of its proper divisors (161011396968147).

166584402406125 is a wasteful number, since it uses less digits than its factorization.

166584402406125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13461365883 (or 13461365870 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 166584402406125 in words is "one hundred sixty-six trillion, five hundred eighty-four billion, four hundred two million, four hundred six thousand, one hundred twenty-five".