123344980416 has 672 divisors, whose sum is σ = 436808148480. Its totient is φ = 33844262400.

The previous prime is 123344980379. The next prime is 123344980417. The reversal of 123344980416 is 614089443321.

123344980416 is a `hidden beast` number, since 123 + 3 + 449 + 80 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123344980417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 941564671 + ... + 941564801.

Almost surely, 2^123344980416 is an apocalyptic number.

123344980416 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 123344980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218404074240).

123344980416 is an abundant number, since it is smaller than the sum of its proper divisors (313463168064).

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

123344980416 is an frugal number, since it uses more digits than its factorization.

123344980416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 123344980416 in words is "one hundred twenty-three billion, three hundred forty-four million, nine hundred eighty thousand, four hundred sixteen".