463199986080000 has 2160 divisors, whose sum is σ = 1860289838447040. Its totient is φ = 113598111744000.

The previous prime is 463199986079989. The next prime is 463199986080047. The reversal of 463199986080000 is 80689991364.

It is a happy number.

463199986080000 is a `hidden beast` number, since 4 + 6 + 3 + 19 + 9 + 9 + 8 + 608 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a self number, because there is not a number n which added to its sum of digits gives 463199986080000.

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 239 ways as a sum of consecutive naturals, for example, 228515038987 + ... + 228515041013.

Almost surely, 2^{463199986080000} is an apocalyptic number.

463199986080000 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 463199986080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930144919223520).

463199986080000 is an abundant number, since it is smaller than the sum of its proper divisors (1397089852367040).

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

463199986080000 is a wasteful number, since it uses less digits than its factorization.

463199986080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 463199986080000 in words is "four hundred sixty-three trillion, one hundred ninety-nine billion, nine hundred eighty-six million, eighty thousand".