166418496 has 112 divisors (see below), whose sum is σ = 492760000. Its totient is φ = 55074816.

The previous prime is 166418449. The next prime is 166418503. The reversal of 166418496 is 694814661.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333255 + ... + 333753.

Almost surely, 2^166418496 is an apocalyptic number.

166418496 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 166418496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246380000).

166418496 is an abundant number, since it is smaller than the sum of its proper divisors (326341504).

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

166418496 is a wasteful number, since it uses less digits than its factorization.

166418496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 697 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 166418496 is about 12900.3292981226. The cubic root of 166418496 is about 550.0479253004.

The spelling of 166418496 in words is "one hundred sixty-six million, four hundred eighteen thousand, four hundred ninety-six".