123671964991680 has 1792 divisors, whose sum is σ = 525373778165760. Its totient is φ = 26776047108096.

The previous prime is 123671964991669. The next prime is 123671964991697. The reversal of 123671964991680 is 86199469176321.

It is a happy number.

123671964991680 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 71 + 9 + 6 + 499 + 1 + 68 + 0 = 666.

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 = 123671964991599 and 123671964991608.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 80150332989 + ... + 80150334531.

Almost surely, 2^{123671964991680} is an apocalyptic number.

123671964991680 is a gapful number since it is divisible by the number (10) 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 123671964991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262686889082880).

123671964991680 is an abundant number, since it is smaller than the sum of its proper divisors (401701813174080).

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

123671964991680 is a wasteful number, since it uses less digits than its factorization.

123671964991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 123671964991680 in words is "one hundred twenty-three trillion, six hundred seventy-one billion, nine hundred sixty-four million, nine hundred ninety-one thousand, six hundred eighty".