123977226816 has 189 divisors, whose sum is σ = 377929305481. Its totient is φ = 38849746944.

The previous prime is 123977226809. The next prime is 123977226817. The reversal of 123977226816 is 618622779321.

It is a happy number.

The square root of 123977226816 is 352104.

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

123977226816 is a `hidden beast` number, since 12 + 397 + 7 + 226 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96522062400 + 27455164416 = 310680^2 + 165696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123977226817) 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 26 ways as a sum of consecutive naturals, for example, 143658001 + ... + 143658863.

Almost surely, 2^123977226816 is an apocalyptic number.

123977226816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123977226816 is the 352104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123977226816

123977226816 is an abundant number, since it is smaller than the sum of its proper divisors (253952078665).

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

123977226816 is an frugal number, since it uses more digits than its factorization.

123977226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 885 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 123977226816 in words is "one hundred twenty-three billion, nine hundred seventy-seven million, two hundred twenty-six thousand, eight hundred sixteen".