667511017511142 has 192 divisors, whose sum is σ = 1593744412474368. Its totient is φ = 185729019840000.

The previous prime is 667511017511113. The next prime is 667511017511171. The reversal of 667511017511142 is 241115710115766.

It is an interprime number because it is at equal distance from previous prime (667511017511113) and next prime (667511017511171).

It is a junction number, because it is equal to n+sod(n) for n = 667511017511091 and 667511017511100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15933691548 + ... + 15933733440.

It is an arithmetic number, because the mean of its divisors is an integer number (8300752148304).

Almost surely, 2^{667511017511142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667511017511142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796872206237184).

667511017511142 is an abundant number, since it is smaller than the sum of its proper divisors (926233394963226).

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

667511017511142 is a wasteful number, since it uses less digits than its factorization.

667511017511142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44315 (or 44308 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 48.

The spelling of 667511017511142 in words is "six hundred sixty-seven trillion, five hundred eleven billion, seventeen million, five hundred eleven thousand, one hundred forty-two".