164379734416 has 20 divisors (see below), whose sum is σ = 329468003100. Its totient is φ = 79355733632.

The previous prime is 164379734413. The next prime is 164379734459. The reversal of 164379734416 is 614437973461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 125531324416 + 38848410000 = 354304^2 + 197100^2 .

It is a super-2 number, since 2×164379734416² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164379734413) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 177132871 + ... + 177133798.

It is an arithmetic number, because the mean of its divisors is an integer number (16473400155).

Almost surely, 2^164379734416 is an apocalyptic number.

164379734416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164379734416 is an abundant number, since it is smaller than the sum of its proper divisors (165088268684).

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

164379734416 is a wasteful number, since it uses less digits than its factorization.

164379734416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354266706 (or 354266700 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 55.

The spelling of 164379734416 in words is "one hundred sixty-four billion, three hundred seventy-nine million, seven hundred thirty-four thousand, four hundred sixteen".