123536448 has 168 divisors, whose sum is σ = 422757600. Its totient is φ = 35271936.

The previous prime is 123536447. The next prime is 123536477. The reversal of 123536448 is 844635321.

123536448 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 3 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×123536448² = 30522507968913408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (123536443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83943 + ... + 85401.

Almost surely, 2^123536448 is an apocalyptic number.

123536448 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 123536448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211378800).

123536448 is an abundant number, since it is smaller than the sum of its proper divisors (299221152).

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

123536448 is a wasteful number, since it uses less digits than its factorization.

123536448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1471 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 123536448 is about 11114.6951375195. The cubic root of 123536448 is about 498.0409314593.

The spelling of 123536448 in words is "one hundred twenty-three million, five hundred thirty-six thousand, four hundred forty-eight".