164861985024 has 243 divisors, whose sum is σ = 523158988989. Its totient is φ = 49893212160.

The previous prime is 164861984983. The next prime is 164861985083. The reversal of 164861985024 is 420589168461.

The square root of 164861985024 is 406032.

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

164861985024 is a `hidden beast` number, since 1 + 6 + 48 + 6 + 1 + 98 + 502 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64499745024 + 100362240000 = 253968^2 + 316800^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 214384512 + ... + 214385280.

Almost surely, 2^164861985024 is an apocalyptic number.

164861985024 is the 406032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164861985024

164861985024 is an abundant number, since it is smaller than the sum of its proper divisors (358297003965).

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

164861985024 is an frugal number, since it uses more digits than its factorization.

164861985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 164861985024 in words is "one hundred sixty-four billion, eight hundred sixty-one million, nine hundred eighty-five thousand, twenty-four".