4663138313664 has 112 divisors (see below), whose sum is σ = 13709956730400. Its totient is φ = 1554244098048.

The previous prime is 4663138313593. The next prime is 4663138313671.

4663138313664 is a `hidden beast` number, since 4 + 6 + 6 + 313 + 8 + 313 + 6 + 6 + 4 = 666.

4663138313664 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4663138313664² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4663138313664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20812924 + ... + 21035780.

It is an arithmetic number, because the mean of its divisors is an integer number (122410327950).

Almost surely, 2^{4663138313664} is an apocalyptic number.

It is an amenable number.

4663138313664 is an abundant number, since it is smaller than the sum of its proper divisors (9046818416736).

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

4663138313664 is a wasteful number, since it uses less digits than its factorization.

4663138313664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234987 (or 234971 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 4663138313664 in words is "four trillion, six hundred sixty-three billion, one hundred thirty-eight million, three hundred thirteen thousand, six hundred sixty-four".