641223766152 has 180 divisors, whose sum is σ = 1822729055895. Its totient is φ = 210608893152.

The previous prime is 641223766097. The next prime is 641223766171. The reversal of 641223766152 is 251667322146.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

641223766152 is a `hidden beast` number, since 6 + 4 + 1 + 2 + 23 + 7 + 6 + 615 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 320611883076 + 320611883076 = 566226^2 + 566226^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=566226.

It is a super-2 number, since 2×641223766152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 641223766098 and 641223766107.

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 44 ways as a sum of consecutive naturals, for example, 1691883099 + ... + 1691883477.

Almost surely, 2^641223766152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641223766152

641223766152 is an abundant number, since it is smaller than the sum of its proper divisors (1181505289743).

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

641223766152 is an frugal number, since it uses more digits than its factorization.

641223766152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 467 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 641223766152 in words is "six hundred forty-one billion, two hundred twenty-three million, seven hundred sixty-six thousand, one hundred fifty-two".