123368626952064 has 1152 divisors, whose sum is σ = 424379723040000. Its totient is φ = 35555078946816.

The previous prime is 123368626952047. The next prime is 123368626952107. The reversal of 123368626952064 is 460259626863321.

123368626952064 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 6 + 86 + 26 + 9 + 520 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 123368626951992 and 123368626952010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8888863077 + ... + 8888876955.

It is an arithmetic number, because the mean of its divisors is an integer number (368385176250).

Almost surely, 2^{123368626952064} 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 123368626952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212189861520000).

123368626952064 is an abundant number, since it is smaller than the sum of its proper divisors (301011096087936).

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

123368626952064 is a wasteful number, since it uses less digits than its factorization.

123368626952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14042 (or 14005 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 123368626952064 in words is "one hundred twenty-three trillion, three hundred sixty-eight billion, six hundred twenty-six million, nine hundred fifty-two thousand, sixty-four".