164612434840 has 128 divisors (see below), whose sum is σ = 446736384000. Its totient is φ = 53327835648.

The previous prime is 164612434813. The next prime is 164612434849. The reversal of 164612434840 is 48434216461.

164612434840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164612434849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1997166 + ... + 2077954.

It is an arithmetic number, because the mean of its divisors is an integer number (3490128000).

Almost surely, 2^164612434840 is an apocalyptic number.

164612434840 is a gapful number since it is divisible by the number (10) 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 164612434840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223368192000).

164612434840 is an abundant number, since it is smaller than the sum of its proper divisors (282123949160).

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

164612434840 is a wasteful number, since it uses less digits than its factorization.

164612434840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81209 (or 81205 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 164612434840 in words is "one hundred sixty-four billion, six hundred twelve million, four hundred thirty-four thousand, eight hundred forty".