667214164144 has 80 divisors (see below), whose sum is σ = 1421322779520. Its totient is φ = 300905902080.

The previous prime is 667214164117. The next prime is 667214164147. The reversal of 667214164144 is 441461412766.

It is a junction number, because it is equal to n+sod(n) for n = 667214164094 and 667214164103.

It is not an unprimeable number, because it can be changed into a prime (667214164147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12847959 + ... + 12899785.

It is an arithmetic number, because the mean of its divisors is an integer number (17766534744).

Almost surely, 2^667214164144 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 667214164144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710661389760).

667214164144 is an abundant number, since it is smaller than the sum of its proper divisors (754108615376).

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

667214164144 is a wasteful number, since it uses less digits than its factorization.

667214164144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52418 (or 52412 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

It can be divided in two parts, 6672141 and 64144, that added together give a triangular number (6736285 = T₃₆₇₀).

The spelling of 667214164144 in words is "six hundred sixty-seven billion, two hundred fourteen million, one hundred sixty-four thousand, one hundred forty-four".