123196686144768 has 540 divisors, whose sum is σ = 371198734501980. Its totient is φ = 40639027249152.

The previous prime is 123196686144703. The next prime is 123196686144781. The reversal of 123196686144768 is 867441686691321.

123196686144768 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 9 + 6 + 68 + 61 + 447 + 68 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 37618497425664 + 85578188719104 = 6133392^2 + 9250848^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 123196686144696 and 123196686144705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 301214391348 + ... + 301214391756.

Almost surely, 2^{123196686144768} is an apocalyptic number.

123196686144768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123196686144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185599367250990).

123196686144768 is an abundant number, since it is smaller than the sum of its proper divisors (248002048357212).

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

123196686144768 is an frugal number, since it uses more digits than its factorization.

123196686144768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 920 counting only the distinct ones).

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

The spelling of 123196686144768 in words is "one hundred twenty-three trillion, one hundred ninety-six billion, six hundred eighty-six million, one hundred forty-four thousand, seven hundred sixty-eight".