164965945600 has 81 divisors (see below), whose sum is σ = 408396931887. Its totient is φ = 65973381120.

The previous prime is 164965945597. The next prime is 164965945603. The reversal of 164965945600 is 6549569461.

The square root of 164965945600 is 406160.

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

It is an interprime number because it is at equal distance from previous prime (164965945597) and next prime (164965945603).

It can be written as a sum of positive squares in 4 ways, for example, as 34488946944 + 130476998656 = 185712^2 + 361216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164965945603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32490262 + ... + 32495338.

Almost surely, 2^164965945600 is an apocalyptic number.

164965945600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164965945600 is the 406160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164965945600

164965945600 is an abundant number, since it is smaller than the sum of its proper divisors (243430986287).

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

164965945600 is an frugal number, since it uses more digits than its factorization.

164965945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10180 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 164965945600 in words is "one hundred sixty-four billion, nine hundred sixty-five million, nine hundred forty-five thousand, six hundred".