164646061344 has 336 divisors, whose sum is σ = 541694472480. Its totient is φ = 48932812800.

The previous prime is 164646061291. The next prime is 164646061369. The reversal of 164646061344 is 443160646461.

It is a happy number.

164646061344 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 4 + 606 + 1 + 34 + 4 = 666.

It is a super-2 number, since 2×164646061344² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164646061344.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7524019 + ... + 7545869.

It is an arithmetic number, because the mean of its divisors is an integer number (1612185930).

Almost surely, 2^164646061344 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 164646061344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270847236240).

164646061344 is an abundant number, since it is smaller than the sum of its proper divisors (377048411136).

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

164646061344 is a wasteful number, since it uses less digits than its factorization.

164646061344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21915 (or 21892 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 164646061344 in words is "one hundred sixty-four billion, six hundred forty-six million, sixty-one thousand, three hundred forty-four".