667216267146 has 240 divisors, whose sum is σ = 1788049843272. Its totient is φ = 184703016960.

The previous prime is 667216267129. The next prime is 667216267153. The reversal of 667216267146 is 641762612766.

667216267146 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 1 + 626 + 7 + 1 + 4 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 258837755121 + 408378512025 = 508761^2 + 639045^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 667216267092 and 667216267101.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24704626 + ... + 24731618.

Almost surely, 2^667216267146 is an apocalyptic number.

667216267146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 667216267146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894024921636).

667216267146 is an abundant number, since it is smaller than the sum of its proper divisors (1120833576126).

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

667216267146 is a wasteful number, since it uses less digits than its factorization.

667216267146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27139 (or 27119 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 667216267146 in words is "six hundred sixty-seven billion, two hundred sixteen million, two hundred sixty-seven thousand, one hundred forty-six".