123564161040 has 160 divisors (see below), whose sum is σ = 397824359040. Its totient is φ = 31699464192.

The previous prime is 123564161033. The next prime is 123564161053. The reversal of 123564161040 is 40161465321.

It is a junction number, because it is equal to n+sod(n) for n = 123564160992 and 123564161010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712147 + ... + 868493.

It is an arithmetic number, because the mean of its divisors is an integer number (2486402244).

Almost surely, 2^123564161040 is an apocalyptic number.

123564161040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123564161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198912179520).

123564161040 is an abundant number, since it is smaller than the sum of its proper divisors (274260198000).

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

123564161040 is a wasteful number, since it uses less digits than its factorization.

123564161040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156489 (or 156483 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 123564161040 in words is "one hundred twenty-three billion, five hundred sixty-four million, one hundred sixty-one thousand, forty".