123416753768 has 192 divisors, whose sum is σ = 302614341120. Its totient is φ = 45838742400.

The previous prime is 123416753753. The next prime is 123416753773. The reversal of 123416753768 is 867357614321.

It is a super-2 number, since 2×123416753768² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 152178083 + ... + 152178893.

It is an arithmetic number, because the mean of its divisors is an integer number (1576116360).

Almost surely, 2^123416753768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123416753768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151307170560).

123416753768 is an abundant number, since it is smaller than the sum of its proper divisors (179197587352).

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

123416753768 is a wasteful number, since it uses less digits than its factorization.

123416753768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1321 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 53.

The spelling of 123416753768 in words is "one hundred twenty-three billion, four hundred sixteen million, seven hundred fifty-three thousand, seven hundred sixty-eight".