164296401808 has 160 divisors (see below), whose sum is σ = 428795769600. Its totient is φ = 60245821440.

The previous prime is 164296401769. The next prime is 164296401847. The reversal of 164296401808 is 808104692461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (164296401769) and next prime (164296401847).

It is a super-3 number, since 3×164296401808³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 946210 + ... + 1106302.

It is an arithmetic number, because the mean of its divisors is an integer number (2679973560).

Almost surely, 2^164296401808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164296401808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214397884800).

164296401808 is an abundant number, since it is smaller than the sum of its proper divisors (264499367792).

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

164296401808 is a wasteful number, since it uses less digits than its factorization.

164296401808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160150 (or 160130 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 164296401808 in words is "one hundred sixty-four billion, two hundred ninety-six million, four hundred one thousand, eight hundred eight".