123356382336 has 384 divisors, whose sum is σ = 401148521280. Its totient is φ = 36062208000.

The previous prime is 123356382329. The next prime is 123356382337. The reversal of 123356382336 is 633283653321.

123356382336 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 5 + 638 + 2 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 123356382291 and 123356382300.

It is not an unprimeable number, because it can be changed into a prime (123356382337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40967071 + ... + 40970081.

Almost surely, 2^123356382336 is an apocalyptic number.

123356382336 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 123356382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200574260640).

123356382336 is an abundant number, since it is smaller than the sum of its proper divisors (277792138944).

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

123356382336 is a wasteful number, since it uses less digits than its factorization.

123356382336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3141 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 123356382336 in words is "one hundred twenty-three billion, three hundred fifty-six million, three hundred eighty-two thousand, three hundred thirty-six".