123808144680 has 512 divisors, whose sum is σ = 478954944000. Its totient is φ = 28114698240.

The previous prime is 123808144657. The next prime is 123808144723. The reversal of 123808144680 is 86441808321.

123808144680 is a `hidden beast` number, since 123 + 8 + 0 + 8 + 1 + 446 + 80 = 666.

It is a super-3 number, since 3×123808144680³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46247502 + ... + 46250178.

It is an arithmetic number, because the mean of its divisors is an integer number (935458875).

Almost surely, 2^123808144680 is an apocalyptic number.

123808144680 is a gapful number since it is divisible by the number (10) 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 123808144680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239477472000).

123808144680 is an abundant number, since it is smaller than the sum of its proper divisors (355146799320).

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

123808144680 is a wasteful number, since it uses less digits than its factorization.

123808144680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 123808144680 in words is "one hundred twenty-three billion, eight hundred eight million, one hundred forty-four thousand, six hundred eighty".