123343726131648 has 672 divisors, whose sum is σ = 420017607959040. Its totient is φ = 35523908259840.

The previous prime is 123343726131643. The next prime is 123343726131677. The reversal of 123343726131648 is 846131627343321.

123343726131648 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 4 + 3 + 7 + 2 + 613 + 16 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 123343726131594 and 123343726131603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123343726131643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 617641158 + ... + 617840826.

It is an arithmetic number, because the mean of its divisors is an integer number (625026202320).

Almost surely, 2^{123343726131648} is an apocalyptic number.

123343726131648 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 123343726131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210008803979520).

123343726131648 is an abundant number, since it is smaller than the sum of its proper divisors (296673881827392).

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

123343726131648 is a wasteful number, since it uses less digits than its factorization.

123343726131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199887 (or 199865 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 123343726131648 in words is "one hundred twenty-three trillion, three hundred forty-three billion, seven hundred twenty-six million, one hundred thirty-one thousand, six hundred forty-eight".