461133331466544 has 60 divisors (see below), whose sum is σ = 1407854034709512. Its totient is φ = 139737373171200.

The previous prime is 461133331466543. The next prime is 461133331466609. The reversal of 461133331466544 is 445664133331164.

It is a happy number.

461133331466544 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 3 + 3 + 3 + 31 + 4 + 66 + 544 = 666.

It is not an unprimeable number, because it can be changed into a prime (461133331466543) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 145559762137 + ... + 145559765304.

Almost surely, 2^{461133331466544} is an apocalyptic number.

461133331466544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461133331466544 is an abundant number, since it is smaller than the sum of its proper divisors (946720703242968).

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

461133331466544 is a wasteful number, since it uses less digits than its factorization.

461133331466544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291119527466 (or 291119527457 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 461133331466544 in words is "four hundred sixty-one trillion, one hundred thirty-three billion, three hundred thirty-one million, four hundred sixty-six thousand, five hundred forty-four".