123449217408 has 384 divisors, whose sum is σ = 409893120000. Its totient is φ = 35269447680.

The previous prime is 123449217383. The next prime is 123449217413. The reversal of 123449217408 is 804712944321.

123449217408 is a `hidden beast` number, since 1 + 23 + 4 + 4 + 9 + 217 + 408 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55134753 + ... + 55136991.

It is an arithmetic number, because the mean of its divisors is an integer number (1067430000).

Almost surely, 2^123449217408 is an apocalyptic number.

123449217408 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 123449217408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204946560000).

123449217408 is an abundant number, since it is smaller than the sum of its proper divisors (286443902592).

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

123449217408 is a wasteful number, since it uses less digits than its factorization.

123449217408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 123449217408 in words is "one hundred twenty-three billion, four hundred forty-nine million, two hundred seventeen thousand, four hundred eight".