123113461968 has 960 divisors, whose sum is σ = 449864064000. Its totient is φ = 31294771200.

The previous prime is 123113461963. The next prime is 123113462029. The reversal of 123113461968 is 869164311321.

123113461968 is a `hidden beast` number, since 1 + 23 + 1 + 1 + 3 + 4 + 619 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123113461963) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1218945118 + ... + 1218945218.

It is an arithmetic number, because the mean of its divisors is an integer number (468608400).

Almost surely, 2^123113461968 is an apocalyptic number.

123113461968 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 123113461968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224932032000).

123113461968 is an abundant number, since it is smaller than the sum of its proper divisors (326750602032).

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

123113461968 is a wasteful number, since it uses less digits than its factorization.

123113461968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 123113461968 in words is "one hundred twenty-three billion, one hundred thirteen million, four hundred sixty-one thousand, nine hundred sixty-eight".