123309587016 has 864 divisors, whose sum is σ = 469743019200. Its totient is φ = 28979596800.

The previous prime is 123309586969. The next prime is 123309587021. The reversal of 123309587016 is 610785903321.

123309587016 is a `hidden beast` number, since 1 + 23 + 30 + 9 + 587 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 186549726 + ... + 186550386.

It is an arithmetic number, because the mean of its divisors is an integer number (543684050).

Almost surely, 2^123309587016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123309587016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234871509600).

123309587016 is an abundant number, since it is smaller than the sum of its proper divisors (346433432184).

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

123309587016 is a wasteful number, since it uses less digits than its factorization.

123309587016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 123309587016 in words is "one hundred twenty-three billion, three hundred nine million, five hundred eighty-seven thousand, sixteen".