123327249408 has 704 divisors, whose sum is σ = 418554839040. Its totient is φ = 35533209600.

The previous prime is 123327249319. The next prime is 123327249421. The reversal of 123327249408 is 804942723321.

123327249408 is a `hidden beast` number, since 1 + 233 + 2 + 7 + 2 + 4 + 9 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×123327249408² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 971080641 + ... + 971080767.

Almost surely, 2^123327249408 is an apocalyptic number.

123327249408 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 123327249408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209277419520).

123327249408 is an abundant number, since it is smaller than the sum of its proper divisors (295227589632).

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

123327249408 is a wasteful number, since it uses less digits than its factorization.

123327249408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 123327249408 in words is "one hundred twenty-three billion, three hundred twenty-seven million, two hundred forty-nine thousand, four hundred eight".