166315278385152 has 2400 divisors, whose sum is σ = 587489242032000. Its totient is φ = 46459936309248.

The previous prime is 166315278385097. The next prime is 166315278385153. The reversal of 166315278385152 is 251583872513661.

166315278385152 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 1 + 527 + 8 + 3 + 8 + 51 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 166315278385152.

It is not an unprimeable number, because it can be changed into a prime (166315278385153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1116209921974 + ... + 1116209922122.

It is an arithmetic number, because the mean of its divisors is an integer number (244787184180).

Almost surely, 2^{166315278385152} is an apocalyptic number.

166315278385152 is a gapful number since it is divisible by the number (12) 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 166315278385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293744621016000).

166315278385152 is an abundant number, since it is smaller than the sum of its proper divisors (421173963646848).

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

166315278385152 is a wasteful number, since it uses less digits than its factorization.

166315278385152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 316 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 166315278385152 in words is "one hundred sixty-six trillion, three hundred fifteen billion, two hundred seventy-eight million, three hundred eighty-five thousand, one hundred fifty-two".