463599272448 has 480 divisors, whose sum is σ = 1530931514112. Its totient is φ = 139146854400.

The previous prime is 463599272443. The next prime is 463599272483. The reversal of 463599272448 is 844272995364.

463599272448 is a `hidden beast` number, since 4 + 6 + 35 + 9 + 92 + 72 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (463599272443) 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, 66310233 + ... + 66317223.

Almost surely, 2^463599272448 is an apocalyptic number.

463599272448 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 463599272448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765465757056).

463599272448 is an abundant number, since it is smaller than the sum of its proper divisors (1067332241664).

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

463599272448 is an equidigital number, since it uses as much as digits as its factorization.

463599272448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7078 (or 7050 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 463599272448 in words is "four hundred sixty-three billion, five hundred ninety-nine million, two hundred seventy-two thousand, four hundred forty-eight".