123185164608 has 448 divisors, whose sum is σ = 405104071680. Its totient is φ = 36391680000.

The previous prime is 123185164589. The next prime is 123185164621. The reversal of 123185164608 is 806461581321.

123185164608 is a `hidden beast` number, since 1 + 2 + 3 + 185 + 1 + 6 + 460 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 151892523 + ... + 151893333.

It is an arithmetic number, because the mean of its divisors is an integer number (904250160).

Almost surely, 2^123185164608 is an apocalyptic number.

123185164608 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 123185164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202552035840).

123185164608 is an abundant number, since it is smaller than the sum of its proper divisors (281918907072).

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

123185164608 is a wasteful number, since it uses less digits than its factorization.

123185164608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 123185164608 in words is "one hundred twenty-three billion, one hundred eighty-five million, one hundred sixty-four thousand, six hundred eight".