465546297996001 has 2 divisors, whose sum is σ = 465546297996002. Its totient is φ = 465546297996000.

The previous prime is 465546297995939. The next prime is 465546297996023. The reversal of 465546297996001 is 100699792645564.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 465521661554401 + 24636441600 = 21575951^2 + 156960^2 .

It is a cyclic number.

It is not a de Polignac number, because 465546297996001 - 2¹³ = 465546297987809 is a prime.

It is a super-2 number, since 2×465546297996001² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (465546291996001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232773148998000 + 232773148998001.

It is an arithmetic number, because the mean of its divisors is an integer number (232773148998001).

Almost surely, 2^{465546297996001} is an apocalyptic number.

It is an amenable number.

465546297996001 is a deficient number, since it is larger than the sum of its proper divisors (1).

465546297996001 is an equidigital number, since it uses as much as digits as its factorization.

465546297996001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 881798400, while the sum is 73.

The spelling of 465546297996001 in words is "four hundred sixty-five trillion, five hundred forty-six billion, two hundred ninety-seven million, nine hundred ninety-six thousand, one".