164957822976 has 224 divisors, whose sum is σ = 465212192256. Its totient is φ = 51904512000.

The previous prime is 164957822951. The next prime is 164957822983. The reversal of 164957822976 is 679228759461.

It is a happy number.

It is a super-2 number, since 2×164957822976² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31233456 + ... + 31238736.

It is an arithmetic number, because the mean of its divisors is an integer number (2076840144).

Almost surely, 2^164957822976 is an apocalyptic number.

164957822976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164957822976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232606096128).

164957822976 is an abundant number, since it is smaller than the sum of its proper divisors (300254369280).

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

164957822976 is an equidigital number, since it uses as much as digits as its factorization.

164957822976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382 (or 5358 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 66.

The spelling of 164957822976 in words is "one hundred sixty-four billion, nine hundred fifty-seven million, eight hundred twenty-two thousand, nine hundred seventy-six".