463965055488 has 480 divisors, whose sum is σ = 1524050079552. Its totient is φ = 139744051200.

The previous prime is 463965055487. The next prime is 463965055523. The reversal of 463965055488 is 884550569364.

It is a happy number.

463965055488 is a `hidden beast` number, since 4 + 6 + 39 + 6 + 50 + 5 + 548 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (463965055487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247711320 + ... + 247713192.

Almost surely, 2^463965055488 is an apocalyptic number.

463965055488 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 463965055488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762025039776).

463965055488 is an abundant number, since it is smaller than the sum of its proper divisors (1060085024064).

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

463965055488 is a wasteful number, since it uses less digits than its factorization.

463965055488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 463965055488 in words is "four hundred sixty-three billion, nine hundred sixty-five million, fifty-five thousand, four hundred eighty-eight".