123345536256 has 108 divisors (see below), whose sum is σ = 357991801440. Its totient is φ = 40842777600.

The previous prime is 123345536221. The next prime is 123345536261. The reversal of 123345536256 is 652635543321.

123345536256 is a `hidden beast` number, since 1 + 2 + 3 + 34 + 553 + 62 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170635 + ... + 525173.

Almost surely, 2^123345536256 is an apocalyptic number.

123345536256 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 123345536256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178995900720).

123345536256 is an abundant number, since it is smaller than the sum of its proper divisors (234646265184).

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

123345536256 is a wasteful number, since it uses less digits than its factorization.

123345536256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354712 (or 354695 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

The spelling of 123345536256 in words is "one hundred twenty-three billion, three hundred forty-five million, five hundred thirty-six thousand, two hundred fifty-six".