164195506944 has 360 divisors, whose sum is σ = 592467609888. Its totient is φ = 44152750080.

The previous prime is 164195506919. The next prime is 164195506973. The reversal of 164195506944 is 449605591461.

164195506944 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 95 + 506 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2434314 + ... + 2500854.

Almost surely, 2^164195506944 is an apocalyptic number.

164195506944 is a gapful number since it is divisible by the number (14) 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 164195506944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296233804944).

164195506944 is an abundant number, since it is smaller than the sum of its proper divisors (428272102944).

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

164195506944 is an equidigital number, since it uses as much as digits as its factorization.

164195506944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66593 (or 66570 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 164195506944 in words is "one hundred sixty-four billion, one hundred ninety-five million, five hundred six thousand, nine hundred forty-four".