123916658976 has 480 divisors, whose sum is σ = 413275395456. Its totient is φ = 36094464000.

The previous prime is 123916658969. The next prime is 123916659071. The reversal of 123916658976 is 679856619321.

123916658976 is a `hidden beast` number, since 1 + 2 + 39 + 16 + 6 + 589 + 7 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82997686 + ... + 82999178.

Almost surely, 2^123916658976 is an apocalyptic number.

123916658976 is a gapful number since it is divisible by the number (16) 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 123916658976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206637697728).

123916658976 is an abundant number, since it is smaller than the sum of its proper divisors (289358736480).

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

123916658976 is a wasteful number, since it uses less digits than its factorization.

123916658976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1621 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 123916658976 in words is "one hundred twenty-three billion, nine hundred sixteen million, six hundred fifty-eight thousand, nine hundred seventy-six".