463311664042100 has 18 divisors (see below), whose sum is σ = 1005386310971574. Its totient is φ = 185324665616800.

The previous prime is 463311664042067. The next prime is 463311664042207. The reversal of 463311664042100 is 1240466113364.

It can be written as a sum of positive squares in 3 ways, for example, as 126884094032656 + 336427570009444 = 11264284^2 + 18341962^2 .

It is a super-2 number, since 2×463311664042100² (a number of 30 digits) contains 22 as substring.

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, 2316558320111 + ... + 2316558320310.

Almost surely, 2^{463311664042100} is an apocalyptic number.

It is an amenable number.

463311664042100 is an abundant number, since it is smaller than the sum of its proper divisors (542074646929474).

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

463311664042100 is a wasteful number, since it uses less digits than its factorization.

463311664042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633116640435 (or 4633116640428 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 463311664042100 in words is "four hundred sixty-three trillion, three hundred eleven billion, six hundred sixty-four million, forty-two thousand, one hundred".