463517393383968 has 384 divisors, whose sum is σ = 1569729327022080. Its totient is φ = 116225556480000.

The previous prime is 463517393383963. The next prime is 463517393384029. The reversal of 463517393383968 is 869383393715364.

It is a junction number, because it is equal to n+sod(n) for n = 463517393383893 and 463517393383902.

It is not an unprimeable number, because it can be changed into a prime (463517393383963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91250368 + ... + 96195968.

It is an arithmetic number, because the mean of its divisors is an integer number (4087836789120).

Almost surely, 2^{463517393383968} is an apocalyptic number.

463517393383968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463517393383968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784864663511040).

463517393383968 is an abundant number, since it is smaller than the sum of its proper divisors (1106211933638112).

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

463517393383968 is a wasteful number, since it uses less digits than its factorization.

463517393383968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946072 (or 4946064 counting only the distinct ones).

The product of its digits is 6348948480, while the sum is 78.

The spelling of 463517393383968 in words is "four hundred sixty-three trillion, five hundred seventeen billion, three hundred ninety-three million, three hundred eighty-three thousand, nine hundred sixty-eight".