123766873776 has 400 divisors, whose sum is σ = 444303729408. Its totient is φ = 32388595200.

The previous prime is 123766873721. The next prime is 123766873777. The reversal of 123766873776 is 677378667321.

It is a happy number.

123766873776 is a `hidden beast` number, since 123 + 7 + 66 + 87 + 377 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (123766873777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15445611 + ... + 15453621.

Almost surely, 2^123766873776 is an apocalyptic number.

123766873776 is a gapful number since it is divisible by the number (16) 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 123766873776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222151864704).

123766873776 is an abundant number, since it is smaller than the sum of its proper divisors (320536855632).

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

123766873776 is a wasteful number, since it uses less digits than its factorization.

123766873776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8182 (or 8167 counting only the distinct ones).

The product of its digits is 74680704, while the sum is 63.

The spelling of 123766873776 in words is "one hundred twenty-three billion, seven hundred sixty-six million, eight hundred seventy-three thousand, seven hundred seventy-six".