123771944080656 has 405 divisors, whose sum is σ = 365779784659471. Its totient is φ = 39067013280768.

The previous prime is 123771944080597. The next prime is 123771944080657. The reversal of 123771944080656 is 656080449177321.

The square root of 123771944080656 is 11125284.

It is a perfect power (a square), and thus also a powerful number.

123771944080656 is a `hidden beast` number, since 1 + 2 + 37 + 7 + 194 + 408 + 0 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3227354762256 + 120544589318400 = 1796484^2 + 10979280^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123771944080593 and 123771944080602.

It is not an unprimeable number, because it can be changed into a prime (123771944080657) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 531210060316 + ... + 531210060548.

It is a 1-persistent number, because it is pandigital, but 2⋅123771944080656 = 247543888161312 is not.

Almost surely, 2^{123771944080656} is an apocalyptic number.

123771944080656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123771944080656 is the 11125284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123771944080656

123771944080656 is an abundant number, since it is smaller than the sum of its proper divisors (242007840578815).

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

123771944080656 is an equidigital number, since it uses as much as digits as its factorization.

123771944080656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 123771944080656 in words is "one hundred twenty-three trillion, seven hundred seventy-one billion, nine hundred forty-four million, eighty thousand, six hundred fifty-six".