461457610200064 has 44 divisors (see below), whose sum is σ = 923959659821364. Its totient is φ = 230354852102144.

The previous prime is 461457610200001. The next prime is 461457610200077. The reversal of 461457610200064 is 460002016754164.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 108889391960064 + 352568218240000 = 10435008^2 + 18776800^2 .

It is a super-3 number, since 3×461457610200064³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 461457610199987 and 461457610200023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 364556359 + ... + 365819974.

Almost surely, 2^{461457610200064} is an apocalyptic number.

It is an amenable number.

461457610200064 is an abundant number, since it is smaller than the sum of its proper divisors (462502049621300).

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

461457610200064 is an equidigital number, since it uses as much as digits as its factorization.

461457610200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730376970 (or 730376952 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 461457610200064 in words is "four hundred sixty-one trillion, four hundred fifty-seven billion, six hundred ten million, two hundred thousand, sixty-four".