123322283910864 has 360 divisors, whose sum is σ = 357902184117816. Its totient is φ = 39626268364800.

The previous prime is 123322283910851. The next prime is 123322283910919. The reversal of 123322283910864 is 468019382223321.

123322283910864 is a `hidden beast` number, since 1 + 2 + 332 + 228 + 3 + 9 + 1 + 0 + 86 + 4 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 25891407489600 + 97430876421264 = 5088360^2 + 9870708^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 123322283910864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33538829794 + ... + 33538833470.

Almost surely, 2^{123322283910864} 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 123322283910864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178951092058908).

123322283910864 is an abundant number, since it is smaller than the sum of its proper divisors (234579900206952).

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

123322283910864 is a wasteful number, since it uses less digits than its factorization.

123322283910864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 123322283910864 in words is "one hundred twenty-three trillion, three hundred twenty-two billion, two hundred eighty-three million, nine hundred ten thousand, eight hundred sixty-four".