4631646461364 has 384 divisors, whose sum is σ = 13335840000000. Its totient is φ = 1381352113152.

The previous prime is 4631646461363. The next prime is 4631646461417.

4631646461364 is a `hidden beast` number, since 4 + 6 + 3 + 16 + 4 + 6 + 4 + 613 + 6 + 4 = 666.

4631646461364 is nontrivially palindromic in base 10.

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 4631646461364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4631646461363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3678828967 + ... + 3678830225.

It is an arithmetic number, because the mean of its divisors is an integer number (34728750000).

Almost surely, 2^{4631646461364} 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 4631646461364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667920000000).

4631646461364 is an abundant number, since it is smaller than the sum of its proper divisors (8704193538636).

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

4631646461364 is a wasteful number, since it uses less digits than its factorization.

4631646461364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1924 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 4631646461364 in words is "four trillion, six hundred thirty-one billion, six hundred forty-six million, four hundred sixty-one thousand, three hundred sixty-four".