164738454160 has 160 divisors (see below), whose sum is σ = 448319162880. Its totient is φ = 55127015424.

The previous prime is 164738454149. The next prime is 164738454187. The reversal of 164738454160 is 61454837461.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5713861 + ... + 5742619.

It is an arithmetic number, because the mean of its divisors is an integer number (2801994768).

Almost surely, 2^164738454160 is an apocalyptic number.

164738454160 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 164738454160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224159581440).

164738454160 is an abundant number, since it is smaller than the sum of its proper divisors (283580708720).

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

164738454160 is a wasteful number, since it uses less digits than its factorization.

164738454160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29025 (or 29019 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 164738454160 in words is "one hundred sixty-four billion, seven hundred thirty-eight million, four hundred fifty-four thousand, one hundred sixty".