123410667645056 has 128 divisors (see below), whose sum is σ = 272353626547200. Its totient is φ = 55230805324800.

The previous prime is 123410667645017. The next prime is 123410667645131. The reversal of 123410667645056 is 650546766014321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 123410667644992 and 123410667645010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73041101 + ... + 74711603.

It is an arithmetic number, because the mean of its divisors is an integer number (2127762707400).

Almost surely, 2^{123410667645056} is an apocalyptic number.

123410667645056 is a gapful number since it is divisible by the number (16) 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 123410667645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136176813273600).

123410667645056 is an abundant number, since it is smaller than the sum of its proper divisors (148942958902144).

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

123410667645056 is a wasteful number, since it uses less digits than its factorization.

123410667645056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671338 (or 1671326 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 56.

The spelling of 123410667645056 in words is "one hundred twenty-three trillion, four hundred ten billion, six hundred sixty-seven million, six hundred forty-five thousand, fifty-six".