123904678968 has 256 divisors, whose sum is σ = 406555238400. Its totient is φ = 34215644160.

The previous prime is 123904678957. The next prime is 123904678987. The reversal of 123904678968 is 869876409321.

123904678968 is a `hidden beast` number, since 1 + 2 + 3 + 90 + 467 + 89 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57979596 + ... + 57981732.

It is an arithmetic number, because the mean of its divisors is an integer number (1588106400).

Almost surely, 2^123904678968 is an apocalyptic number.

123904678968 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 123904678968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203277619200).

123904678968 is an abundant number, since it is smaller than the sum of its proper divisors (282650559432).

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

123904678968 is a wasteful number, since it uses less digits than its factorization.

123904678968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 123904678968 in words is "one hundred twenty-three billion, nine hundred four million, six hundred seventy-eight thousand, nine hundred sixty-eight".