46643366334664 has 128 divisors (see below), whose sum is σ = 98405377200000. Its totient is φ = 20547204352000.

The previous prime is 46643366334661. The next prime is 46643366334679.

46643366334664 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46643366334596 and 46643366334605.

It is not an unprimeable number, because it can be changed into a prime (46643366334661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121992462 + ... + 122374210.

It is an arithmetic number, because the mean of its divisors is an integer number (768792009375).

Almost surely, 2^{46643366334664} is an apocalyptic number.

46643366334664 is a gapful number since it is divisible by the number (44) 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 46643366334664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49202688600000).

46643366334664 is an abundant number, since it is smaller than the sum of its proper divisors (51762010865336).

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

46643366334664 is a wasteful number, since it uses less digits than its factorization.

46643366334664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382159 (or 382155 counting only the distinct ones).

The product of its digits is 967458816, while the sum is 64.

The spelling of 46643366334664 in words is "forty-six trillion, six hundred forty-three billion, three hundred sixty-six million, three hundred thirty-four thousand, six hundred sixty-four".