123864879456 has 192 divisors, whose sum is σ = 370268236800. Its totient is φ = 40263326208.

The previous prime is 123864879433. The next prime is 123864879517. The reversal of 123864879456 is 654978468321.

123864879456 is a `hidden beast` number, since 1 + 23 + 86 + 4 + 87 + 9 + 456 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 123864879393 and 123864879402.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26709970 + ... + 26714606.

It is an arithmetic number, because the mean of its divisors is an integer number (1928480400).

Almost surely, 2^123864879456 is an apocalyptic number.

123864879456 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 123864879456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185134118400).

123864879456 is an abundant number, since it is smaller than the sum of its proper divisors (246403357344).

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

123864879456 is a wasteful number, since it uses less digits than its factorization.

123864879456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418 (or 5404 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 123864879456 in words is "one hundred twenty-three billion, eight hundred sixty-four million, eight hundred seventy-nine thousand, four hundred fifty-six".