166379175144 has 512 divisors, whose sum is σ = 596865024000. Its totient is φ = 41760230400.

The previous prime is 166379175139. The next prime is 166379175223. The reversal of 166379175144 is 441571973661.

It is a happy number.

166379175144 is a `hidden beast` number, since 1 + 6 + 6 + 37 + 91 + 7 + 514 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40469649 + ... + 40473759.

It is an arithmetic number, because the mean of its divisors is an integer number (1165752000).

Almost surely, 2^166379175144 is an apocalyptic number.

166379175144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166379175144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298432512000).

166379175144 is an abundant number, since it is smaller than the sum of its proper divisors (430485848856).

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

166379175144 is a wasteful number, since it uses less digits than its factorization.

166379175144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4236 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 166379175144 in words is "one hundred sixty-six billion, three hundred seventy-nine million, one hundred seventy-five thousand, one hundred forty-four".