46643444434664 has 32 divisors (see below), whose sum is σ = 109036623355200. Its totient is φ = 18172770558720.

The previous prime is 46643444434529. The next prime is 46643444434693.

46643444434664 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46643444434664² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46643444434597 and 46643444434606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37859938049 + ... + 37859939280.

It is an arithmetic number, because the mean of its divisors is an integer number (3407394479850).

Almost surely, 2^{46643444434664} is an apocalyptic number.

46643444434664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46643444434664 is an abundant number, since it is smaller than the sum of its proper divisors (62393178920536).

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

46643444434664 is a wasteful number, since it uses less digits than its factorization.

46643444434664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75719877353 (or 75719877349 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 62.

The spelling of 46643444434664 in words is "forty-six trillion, six hundred forty-three billion, four hundred forty-four million, four hundred thirty-four thousand, six hundred sixty-four".