164256131094 has 64 divisors (see below), whose sum is σ = 372638472192. Its totient is φ = 47817273600.

The previous prime is 164256131033. The next prime is 164256131159. The reversal of 164256131094 is 490131652461.

It is a happy number.

164256131094 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 an unprimeable number.

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, 12697 + ... + 573300.

It is an arithmetic number, because the mean of its divisors is an integer number (5822476128).

Almost surely, 2^164256131094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164256131094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186319236096).

164256131094 is an abundant number, since it is smaller than the sum of its proper divisors (208382341098).

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

164256131094 is a wasteful number, since it uses less digits than its factorization.

164256131094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586181.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 164256131094 in words is "one hundred sixty-four billion, two hundred fifty-six million, one hundred thirty-one thousand, ninety-four".