164466952608 has 768 divisors, whose sum is σ = 566524772352. Its totient is φ = 40697856000.

The previous prime is 164466952607. The next prime is 164466952609. The reversal of 164466952608 is 806259664461.

164466952608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164466952607) and next prime (164466952609).

It is not an unprimeable number, because it can be changed into a prime (164466952607) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 682435368 + ... + 682435608.

It is an arithmetic number, because the mean of its divisors is an integer number (737662464).

Almost surely, 2^164466952608 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 164466952608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283262386176).

164466952608 is an abundant number, since it is smaller than the sum of its proper divisors (402057819744).

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

164466952608 is a wasteful number, since it uses less digits than its factorization.

164466952608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 164466952608 in words is "one hundred sixty-four billion, four hundred sixty-six million, nine hundred fifty-two thousand, six hundred eight".