123709917270016 has 1053 divisors, whose sum is σ = 330517045018251. Its totient is φ = 46127215411200.

The previous prime is 123709917269993. The next prime is 123709917270151. The reversal of 123709917270016 is 610072719907321.

It is a happy number.

The square root of 123709917270016 is 11122496.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2725404774400 + 120984512495616 = 1650880^2 + 10999296^2 .

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 80 ways as a sum of consecutive naturals, for example, 2028031430626 + ... + 2028031430686.

Almost surely, 2^{123709917270016} is an apocalyptic number.

123709917270016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123709917270016 is the 11122496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123709917270016

123709917270016 is an abundant number, since it is smaller than the sum of its proper divisors (206807127748235).

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

123709917270016 is an frugal number, since it uses more digits than its factorization.

123709917270016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 55.

The spelling of 123709917270016 in words is "one hundred twenty-three trillion, seven hundred nine billion, nine hundred seventeen million, two hundred seventy thousand, sixteen".