463016966688000 has 1008 divisors, whose sum is σ = 1753722042089472. Its totient is φ = 121731724800000.

The previous prime is 463016966687903. The next prime is 463016966688011. The reversal of 463016966688000 is 886669610364.

It is a super-2 number, since 2×463016966688000² (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 (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1656148225 + ... + 1656427775.

It is an arithmetic number, because the mean of its divisors is an integer number (1739803613184).

Almost surely, 2^{463016966688000} is an apocalyptic number.

463016966688000 is a gapful number since it is divisible by the number (40) 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 463016966688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876861021044736).

463016966688000 is an abundant number, since it is smaller than the sum of its proper divisors (1290705075401472).

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

463016966688000 is an frugal number, since it uses more digits than its factorization.

463016966688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279671 (or 279632 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 463016966688000 in words is "four hundred sixty-three trillion, sixteen billion, nine hundred sixty-six million, six hundred eighty-eight thousand".