123865859286016 has 297 divisors, whose sum is σ = 261790595591889. Its totient is φ = 58575737020416.

The previous prime is 123865859285999. The next prime is 123865859286019. The reversal of 123865859286016 is 610682958568321.

The square root of 123865859286016 is 11129504.

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

It can be written as a sum of positive squares in only one way, i.e., 64952252015616 + 58913607270400 = 8059296^2 + 7675520^2 .

It is a super-2 number, since 2×123865859286016² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123865859286019) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 691988040615 + ... + 691988040793.

Almost surely, 2^{123865859286016} is an apocalyptic number.

123865859286016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123865859286016 is the 11129504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123865859286016

123865859286016 is an abundant number, since it is smaller than the sum of its proper divisors (137924736305873).

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

123865859286016 is an frugal number, since it uses more digits than its factorization.

123865859286016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 70.

The spelling of 123865859286016 in words is "one hundred twenty-three trillion, eight hundred sixty-five billion, eight hundred fifty-nine million, two hundred eighty-six thousand, sixteen".