463515913728 has 480 divisors, whose sum is σ = 1678784050944. Its totient is φ = 124638953472.

The previous prime is 463515913727. The next prime is 463515913801. The reversal of 463515913728 is 827319515364.

It is a happy number.

463515913728 is a `hidden beast` number, since 4 + 6 + 3 + 515 + 91 + 37 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463515913727) 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, 14789851 + ... + 14821157.

Almost surely, 2^463515913728 is an apocalyptic number.

463515913728 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 463515913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839392025472).

463515913728 is an abundant number, since it is smaller than the sum of its proper divisors (1215268137216).

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

463515913728 is an equidigital number, since it uses as much as digits as its factorization.

463515913728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31364 (or 31336 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 463515913728 in words is "four hundred sixty-three billion, five hundred fifteen million, nine hundred thirteen thousand, seven hundred twenty-eight".