366948687168 has 168 divisors, whose sum is σ = 1204522896512. Its totient is φ = 104626639872.

The previous prime is 366948687167. The next prime is 366948687169. The reversal of 366948687168 is 861786849663.

366948687168 is a `hidden beast` number, since 3 + 6 + 6 + 9 + 486 + 87 + 1 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (366948687167) and next prime (366948687169).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 366948687096 and 366948687105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (366948687167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870146 + ... + 2057022.

Almost surely, 2^366948687168 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 366948687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602261448256).

366948687168 is an abundant number, since it is smaller than the sum of its proper divisors (837574209344).

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

366948687168 is a wasteful number, since it uses less digits than its factorization.

366948687168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187389 (or 187376 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 366948687168 in words is "three hundred sixty-six billion, nine hundred forty-eight million, six hundred eighty-seven thousand, one hundred sixty-eight".