123991584768 has 156 divisors (see below), whose sum is σ = 360783145008. Its totient is φ = 41027174400.

The previous prime is 123991584751. The next prime is 123991584793. The reversal of 123991584768 is 867485199321.

123991584768 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 9 + 158 + 476 + 8 = 666.

It is a super-2 number, since 2×123991584768² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5038093 + ... + 5062643.

It is an arithmetic number, because the mean of its divisors is an integer number (2312712468).

Almost surely, 2^123991584768 is an apocalyptic number.

123991584768 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 123991584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180391572504).

123991584768 is an abundant number, since it is smaller than the sum of its proper divisors (236791560240).

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

123991584768 is a wasteful number, since it uses less digits than its factorization.

123991584768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24718 (or 24693 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 123991584768 in words is "one hundred twenty-three billion, nine hundred ninety-one million, five hundred eighty-four thousand, seven hundred sixty-eight".