463152623120000 has 320 divisors, whose sum is σ = 1261411603452000. Its totient is φ = 167936448000000.

The previous prime is 463152623119951. The next prime is 463152623120059. The reversal of 463152623120000 is 21326251364.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 306365975 + ... + 307874025.

Almost surely, 2^{463152623120000} is an apocalyptic number.

463152623120000 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 463152623120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630705801726000).

463152623120000 is an abundant number, since it is smaller than the sum of its proper divisors (798258980332000).

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

463152623120000 is a wasteful number, since it uses less digits than its factorization.

463152623120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508445 (or 1508418 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 463152623120000 its reverse (21326251364), we get a palindrome (463173949371364).

The spelling of 463152623120000 in words is "four hundred sixty-three trillion, one hundred fifty-two billion, six hundred twenty-three million, one hundred twenty thousand".