463975133128416 has 1728 divisors, whose sum is σ = 1775864694030336. Its totient is φ = 111762544435200.

The previous prime is 463975133128369. The next prime is 463975133128417. The reversal of 463975133128416 is 614821331579364.

463975133128416 is a `hidden beast` number, since 4 + 6 + 3 + 9 + 7 + 5 + 1 + 331 + 284 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463975133128417) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 81242359801 + ... + 81242365511.

It is an arithmetic number, because the mean of its divisors is an integer number (1027699475712).

Almost surely, 2^{463975133128416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463975133128416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887932347015168).

463975133128416 is an abundant number, since it is smaller than the sum of its proper divisors (1311889560901920).

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

463975133128416 is a wasteful number, since it uses less digits than its factorization.

463975133128416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6093 (or 6063 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 463975133128416 in words is "four hundred sixty-three trillion, nine hundred seventy-five billion, one hundred thirty-three million, one hundred twenty-eight thousand, four hundred sixteen".