123834728448 has 242 divisors, whose sum is σ = 371501999619. Its totient is φ = 41278242816.

The previous prime is 123834728441. The next prime is 123834728449. The reversal of 123834728448 is 844827438321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁵ ⋅ (3!)⁵ ⋅ 2!.

123834728448 is a `hidden beast` number, since 1 + 238 + 347 + 28 + 4 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61917364224 + 61917364224 = 248832^2 + 248832^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=3456.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8257536) is a multiple of the sum of its prime factors (72).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 123834728394 and 123834728403.

It is not an unprimeable number, because it can be changed into a prime (123834728441) by changing a digit.

It is a polite number, since it can be written in 10 ways as a sum of consecutive naturals, for example, 41278242815 + 41278242816 + 41278242817.

Almost surely, 2^123834728448 is an apocalyptic number.

123834728448 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 123834728448

123834728448 is an abundant number, since it is smaller than the sum of its proper divisors (247667271171).

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

123834728448 is an frugal number, since it uses more digits than its factorization.

123834728448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 5 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 123834728448 in words is "one hundred twenty-three billion, eight hundred thirty-four million, seven hundred twenty-eight thousand, four hundred forty-eight".