123084690677316 has 189 divisors, whose sum is σ = 331084585690509. Its totient is φ = 40019553748800.

The previous prime is 123084690677287. The next prime is 123084690677359. The reversal of 123084690677316 is 613776096480321.

It is a happy number.

The square root of 123084690677316 is 11094354.

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

123084690677316 is a `hidden beast` number, since 1 + 2 + 30 + 8 + 469 + 0 + 67 + 73 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5930910139716 + 117153780537600 = 2435346^2 + 10823760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 24562897251 + ... + 24562902261.

Almost surely, 2^{123084690677316} is an apocalyptic number.

123084690677316 is the 11094354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123084690677316

123084690677316 is an abundant number, since it is smaller than the sum of its proper divisors (207999895013193).

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

123084690677316 is an frugal number, since it uses more digits than its factorization.

123084690677316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10126 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 123084690677316 in words is "one hundred twenty-three trillion, eighty-four billion, six hundred ninety million, six hundred seventy-seven thousand, three hundred sixteen".