123644654406 has 288 divisors, whose sum is σ = 340840281600. Its totient is φ = 32364940608.

The previous prime is 123644654383. The next prime is 123644654447. The reversal of 123644654406 is 604456446321.

123644654406 is a `hidden beast` number, since 1 + 2 + 3 + 64 + 46 + 544 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 170074815 + ... + 170075541.

It is an arithmetic number, because the mean of its divisors is an integer number (1183473200).

Almost surely, 2^123644654406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123644654406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170420140800).

123644654406 is an abundant number, since it is smaller than the sum of its proper divisors (217195627194).

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

123644654406 is a wasteful number, since it uses less digits than its factorization.

123644654406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 123644654406 in words is "one hundred twenty-three billion, six hundred forty-four million, six hundred fifty-four thousand, four hundred six".