123405375744 has 864 divisors, whose sum is σ = 453355929600. Its totient is φ = 32920473600.

The previous prime is 123405375721. The next prime is 123405375749. The reversal of 123405375744 is 447573504321.

It is a happy number.

123405375744 is a `hidden beast` number, since 1 + 2 + 3 + 40 + 5 + 37 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×123405375744³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123405375744.

It is not an unprimeable number, because it can be changed into a prime (123405375749) 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, 817254069 + ... + 817254219.

Almost surely, 2^123405375744 is an apocalyptic number.

123405375744 is a gapful number since it is divisible by the number (14) 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 123405375744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226677964800).

123405375744 is an abundant number, since it is smaller than the sum of its proper divisors (329950553856).

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

123405375744 is a wasteful number, since it uses less digits than its factorization.

123405375744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 123405375744 in words is "one hundred twenty-three billion, four hundred five million, three hundred seventy-five thousand, seven hundred forty-four".