123207661683648 has 196 divisors, whose sum is σ = 367352623053000. Its totient is φ = 40981270657536.

The previous prime is 123207661683643. The next prime is 123207661683683. The reversal of 123207661683648 is 846386166702321.

It is a happy number.

123207661683648 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 0 + 7 + 6 + 616 + 8 + 3 + 6 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123207661683641) 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 27 ways as a sum of consecutive naturals, for example, 18960978 + ... + 24615726.

Almost surely, 2^{123207661683648} is an apocalyptic number.

123207661683648 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 123207661683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183676311526500).

123207661683648 is an abundant number, since it is smaller than the sum of its proper divisors (244144961369352).

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

123207661683648 is an frugal number, since it uses more digits than its factorization.

123207661683648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655246 (or 5655221 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 123207661683648 in words is "one hundred twenty-three trillion, two hundred seven billion, six hundred sixty-one million, six hundred eighty-three thousand, six hundred forty-eight".