123723841536 has 171 divisors, whose sum is σ = 358991367501. Its totient is φ = 41061187584.

The previous prime is 123723841531. The next prime is 123723841601. The reversal of 123723841536 is 635148327321.

The square root of 123723841536 is 351744.

It is a perfect power (a square), and thus also a powerful number.

123723841536 is a `hidden beast` number, since 1 + 2 + 3 + 72 + 3 + 8 + 41 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115230375936 + 8493465600 = 339456^2 + 92160^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123723841491 and 123723841500.

It is not an unprimeable number, because it can be changed into a prime (123723841531) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 540278670 + ... + 540278898.

Almost surely, 2^123723841536 is an apocalyptic number.

123723841536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123723841536 is the 351744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123723841536

123723841536 is an abundant number, since it is smaller than the sum of its proper divisors (235267525965).

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

123723841536 is an frugal number, since it uses more digits than its factorization.

123723841536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 234 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 123723841536 in words is "one hundred twenty-three billion, seven hundred twenty-three million, eight hundred forty-one thousand, five hundred thirty-six".