456319164196 has 135 divisors (see below), whose sum is σ = 955574379123. Its totient is φ = 190657071360.

The previous prime is 456319164181. The next prime is 456319164199. The reversal of 456319164196 is 691461913654.

The square root of 456319164196 is 675514.

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

It can be written as a sum of positive squares in 4 ways, for example, as 412664912100 + 43654252096 = 642390^2 + 208936^2 .

It is a super-2 number, since 2×456319164196² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456319164199) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4038222636 + ... + 4038222748.

Almost surely, 2^456319164196 is an apocalyptic number.

456319164196 is the 675514-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456319164196

456319164196 is an abundant number, since it is smaller than the sum of its proper divisors (499255214927).

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

456319164196 is an frugal number, since it uses more digits than its factorization.

456319164196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 183 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 55.

The spelling of 456319164196 in words is "four hundred fifty-six billion, three hundred nineteen million, one hundred sixty-four thousand, one hundred ninety-six".