396169906176 has 1152 divisors, whose sum is σ = 1414831017600. Its totient is φ = 110361968640.

The previous prime is 396169906147. The next prime is 396169906177. The reversal of 396169906176 is 671609961693.

396169906176 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 6 + 9 + 9 + 0 + 617 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (396169906177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9213253611 + ... + 9213253653.

It is an arithmetic number, because the mean of its divisors is an integer number (1228151925).

Almost surely, 2^396169906176 is an apocalyptic number.

396169906176 is a gapful number since it is divisible by the number (36) 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 396169906176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707415508800).

396169906176 is an abundant number, since it is smaller than the sum of its proper divisors (1018661111424).

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

396169906176 is an equidigital number, since it uses as much as digits as its factorization.

396169906176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 396169906176 in words is "three hundred ninety-six billion, one hundred sixty-nine million, nine hundred six thousand, one hundred seventy-six".