463161433151600 has 30 divisors (see below), whose sum is σ = 1112745343147680. Its totient is φ = 185264573260480.

The previous prime is 463161433151561. The next prime is 463161433151617. The reversal of 463161433151600 is 6151334161364.

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 5 ways as a sum of consecutive naturals, for example, 578951791040 + ... + 578951791839.

It is an arithmetic number, because the mean of its divisors is an integer number (37091511438256).

Almost surely, 2^{463161433151600} is an apocalyptic number.

463161433151600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463161433151600 is an abundant number, since it is smaller than the sum of its proper divisors (649583909996080).

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

463161433151600 is a wasteful number, since it uses less digits than its factorization.

463161433151600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157903582897 (or 1157903582886 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 463161433151600 in words is "four hundred sixty-three trillion, one hundred sixty-one billion, four hundred thirty-three million, one hundred fifty-one thousand, six hundred".