8437664667348 has 144 divisors (see below), whose sum is σ = 24631204940160. Its totient is φ = 2385478397952.

The previous prime is 8437664667287. The next prime is 8437664667713.

8437664667348 is a `hidden beast` number, since 8 + 4 + 37 + 66 + 466 + 73 + 4 + 8 = 666.

8437664667348 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8437664667348² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 150620368 + ... + 150676376.

Almost surely, 2^{8437664667348} 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 8437664667348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12315602470080).

8437664667348 is an abundant number, since it is smaller than the sum of its proper divisors (16193540272812).

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

8437664667348 is a wasteful number, since it uses less digits than its factorization.

8437664667348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62286 (or 62281 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 72.

The spelling of 8437664667348 in words is "eight trillion, four hundred thirty-seven billion, six hundred sixty-four million, six hundred sixty-seven thousand, three hundred forty-eight".