164469200896 has 576 divisors, whose sum is σ = 458486814240. Its totient is φ = 57967902720.

The previous prime is 164469200867. The next prime is 164469200957. The reversal of 164469200896 is 698002964461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047574450 + ... + 1047574606.

Almost surely, 2^164469200896 is an apocalyptic number.

164469200896 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 164469200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229243407120).

164469200896 is an abundant number, since it is smaller than the sum of its proper divisors (294017613344).

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

164469200896 is a wasteful number, since it uses less digits than its factorization.

164469200896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 164469200896 in words is "one hundred sixty-four billion, four hundred sixty-nine million, two hundred thousand, eight hundred ninety-six".