463148904000 has 448 divisors, whose sum is σ = 1584128212992. Its totient is φ = 119155456000.

The previous prime is 463148903989. The next prime is 463148904067. The reversal of 463148904000 is 409841364.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 463148904000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80085109 + ... + 80090891.

Almost surely, 2^463148904000 is an apocalyptic number.

463148904000 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 463148904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792064106496).

463148904000 is an abundant number, since it is smaller than the sum of its proper divisors (1120979308992).

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

463148904000 is a wasteful number, since it uses less digits than its factorization.

463148904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 463148904000 in words is "four hundred sixty-three billion, one hundred forty-eight million, nine hundred four thousand".