123988848560784 has 135 divisors (see below), whose sum is σ = 347962169236617. Its totient is φ = 41214925398528.

The previous prime is 123988848560777. The next prime is 123988848560803. The reversal of 123988848560784 is 487065848889321.

The square root of 123988848560784 is 11135028.

It is a perfect power (a square), and thus also a powerful number.

123988848560784 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 8 + 8 + 8 + 48 + 560 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13904098592400 + 110084749968384 = 3728820^2 + 10492128^2 .

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 26 ways as a sum of consecutive naturals, for example, 57857604417 + ... + 57857606559.

It is a 1-persistent number, because it is pandigital, but 2⋅123988848560784 = 247977697121568 is not.

Almost surely, 2^{123988848560784} is an apocalyptic number.

123988848560784 is the 11135028-th square number.

It is an amenable number.

123988848560784 is an abundant number, since it is smaller than the sum of its proper divisors (223973320675833).

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

123988848560784 is an frugal number, since it uses more digits than its factorization.

123988848560784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 5945425920, while the sum is 81.

The spelling of 123988848560784 in words is "one hundred twenty-three trillion, nine hundred eighty-eight billion, eight hundred forty-eight million, five hundred sixty thousand, seven hundred eighty-four".