166008461472 has 384 divisors, whose sum is σ = 591327475200. Its totient is φ = 44228395008.

The previous prime is 166008461453. The next prime is 166008461473. The reversal of 166008461472 is 274164800661.

It is not an unprimeable number, because it can be changed into a prime (166008461473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11199538 + ... + 11214350.

It is an arithmetic number, because the mean of its divisors is an integer number (1539915300).

Almost surely, 2^166008461472 is an apocalyptic number.

166008461472 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 166008461472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295663737600).

166008461472 is an abundant number, since it is smaller than the sum of its proper divisors (425319013728).

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

166008461472 is a wasteful number, since it uses less digits than its factorization.

166008461472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14965 (or 14951 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 166008461472 in words is "one hundred sixty-six billion, eight million, four hundred sixty-one thousand, four hundred seventy-two".