19686334161312 has 192 divisors, whose sum is σ = 70668892143360. Its totient is φ = 5192000197632.

The previous prime is 19686334161287. The next prime is 19686334161337. The reversal of 19686334161312 is 21316143368691.

19686334161312 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 6 + 3 + 3 + 4 + 1 + 613 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (19686334161287) and next prime (19686334161337).

It is a super-2 number, since 2×19686334161312² (a number of 27 digits) contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125114283 + ... + 125271530.

It is an arithmetic number, because the mean of its divisors is an integer number (368067146580).

Almost surely, 2^{19686334161312} is an apocalyptic number.

19686334161312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19686334161312 is an abundant number, since it is smaller than the sum of its proper divisors (50982557982048).

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

19686334161312 is a wasteful number, since it uses less digits than its factorization.

19686334161312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250385852 (or 250385838 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 19686334161312 in words is "nineteen trillion, six hundred eighty-six billion, three hundred thirty-four million, one hundred sixty-one thousand, three hundred twelve".