164387682533376 has 405 divisors, whose sum is σ = 480131776701759. Its totient is φ = 54196879491072.

The previous prime is 164387682533353. The next prime is 164387682533383. The reversal of 164387682533376 is 673335286783461.

The square root of 164387682533376 is 12821376.

It is a perfect power (a square), and thus also a powerful number.

164387682533376 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 8 + 7 + 6 + 82 + 533 + 3 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7099965259776 + 157287717273600 = 2664576^2 + 12541440^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 851749650336 + ... + 851749650528.

Almost surely, 2^{164387682533376} is an apocalyptic number.

164387682533376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164387682533376 is the 12821376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164387682533376

164387682533376 is an abundant number, since it is smaller than the sum of its proper divisors (315744094168383).

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

164387682533376 is an frugal number, since it uses more digits than its factorization.

164387682533376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 371 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 72.

The spelling of 164387682533376 in words is "one hundred sixty-four trillion, three hundred eighty-seven billion, six hundred eighty-two million, five hundred thirty-three thousand, three hundred seventy-six".