123815854080 has 324 divisors, whose sum is σ = 439697273652. Its totient is φ = 32212254720.

The previous prime is 123815854073. The next prime is 123815854109. The reversal of 123815854080 is 80458518321.

123815854080 is a `hidden beast` number, since 1 + 23 + 8 + 1 + 5 + 8 + 540 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21743271936 + 102072582144 = 147456^2 + 319488^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3019898860 + ... + 3019898900.

Almost surely, 2^123815854080 is an apocalyptic number.

123815854080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123815854080 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123815854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219848636826).

123815854080 is an abundant number, since it is smaller than the sum of its proper divisors (315881419572).

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

123815854080 is an frugal number, since it uses more digits than its factorization.

123815854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 123815854080 in words is "one hundred twenty-three billion, eight hundred fifteen million, eight hundred fifty-four thousand, eighty".