123787985390208 has 768 divisors, whose sum is σ = 392328984996000. Its totient is φ = 37289711370240.

The previous prime is 123787985390141. The next prime is 123787985390213. The reversal of 123787985390208 is 802093589787321.

123787985390208 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 87 + 9 + 8 + 539 + 0 + 2 + 0 + 8 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 35806436887104 + 87981548503104 = 5983848^2 + 9379848^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122683830408 + ... + 122683831416.

Almost surely, 2^{123787985390208} is an apocalyptic number.

123787985390208 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 123787985390208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196164492498000).

123787985390208 is an abundant number, since it is smaller than the sum of its proper divisors (268540999605792).

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

123787985390208 is a wasteful number, since it uses less digits than its factorization.

123787985390208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 123787985390208 in words is "one hundred twenty-three trillion, seven hundred eighty-seven billion, nine hundred eighty-five million, three hundred ninety thousand, two hundred eight".