166558948085376 has 2560 divisors, whose sum is σ = 668440745280000. Its totient is φ = 40740102144000.

The previous prime is 166558948085351. The next prime is 166558948085419. The reversal of 166558948085376 is 673580849855661.

166558948085376 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 5 + 8 + 94 + 80 + 85 + 376 = 666.

166558948085376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166558948085376² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 166558948085295 and 166558948085304.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 46511851906 + ... + 46511855486.

It is an arithmetic number, because the mean of its divisors is an integer number (261109666125).

Almost surely, 2^{166558948085376} is an apocalyptic number.

166558948085376 is a gapful number since it is divisible by the number (16) 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 166558948085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334220372640000).

166558948085376 is an abundant number, since it is smaller than the sum of its proper divisors (501881797194624).

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

166558948085376 is a wasteful number, since it uses less digits than its factorization.

166558948085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 10450944000, while the sum is 81.

The spelling of 166558948085376 in words is "one hundred sixty-six trillion, five hundred fifty-eight billion, nine hundred forty-eight million, eighty-five thousand, three hundred seventy-six".