123688328400 has 1350 divisors, whose sum is σ = 560372325282. Its totient is φ = 26040268800.

The previous prime is 123688328383. The next prime is 123688328471. The reversal of 123688328400 is 4823886321.

123688328400 is a `hidden beast` number, since 1 + 2 + 368 + 8 + 3 + 284 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 89475167376 + 34213161024 = 299124^2 + 184968^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

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 (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 268304170 + ... + 268304630.

Almost surely, 2^123688328400 is an apocalyptic number.

123688328400 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 123688328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280186162641).

123688328400 is an abundant number, since it is smaller than the sum of its proper divisors (436683996882).

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

123688328400 is a wasteful number, since it uses less digits than its factorization.

123688328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 123688328400 in words is "one hundred twenty-three billion, six hundred eighty-eight million, three hundred twenty-eight thousand, four hundred".