463574513664 has 288 divisors, whose sum is σ = 1409301653760. Its totient is φ = 152207548416.

The previous prime is 463574513657. The next prime is 463574513687. The reversal of 463574513664 is 466315475364.

463574513664 is a `hidden beast` number, since 4 + 6 + 3 + 574 + 5 + 1 + 3 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 463574513664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33336537 + ... + 33350439.

It is an arithmetic number, because the mean of its divisors is an integer number (4893408520).

Almost surely, 2^463574513664 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 463574513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704650826880).

463574513664 is an abundant number, since it is smaller than the sum of its proper divisors (945727140096).

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

463574513664 is an equidigital number, since it uses as much as digits as its factorization.

463574513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14007 (or 13975 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 463574513664 in words is "four hundred sixty-three billion, five hundred seventy-four million, five hundred thirteen thousand, six hundred sixty-four".