123246769968 has 320 divisors, whose sum is σ = 422667233280. Its totient is φ = 33619525632.

The previous prime is 123246769927. The next prime is 123246769973. The reversal of 123246769968 is 869967642321.

123246769968 is a `hidden beast` number, since 1 + 23 + 2 + 467 + 6 + 99 + 68 = 666.

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

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

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 63 ways as a sum of consecutive naturals, for example, 46807180 + ... + 46809812.

It is an arithmetic number, because the mean of its divisors is an integer number (1320835104).

Almost surely, 2^123246769968 is an apocalyptic number.

123246769968 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 123246769968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211333616640).

123246769968 is an abundant number, since it is smaller than the sum of its proper divisors (299420463312).

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

123246769968 is a wasteful number, since it uses less digits than its factorization.

123246769968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3341 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 123246769968 in words is "one hundred twenty-three billion, two hundred forty-six million, seven hundred sixty-nine thousand, nine hundred sixty-eight".