124676785216 has 189 divisors, whose sum is σ = 275687787333. Its totient is φ = 55930406400.

The previous prime is 124676785157. The next prime is 124676785217. The reversal of 124676785216 is 612587676421.

The square root of 124676785216 is 353096.

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

It can be written as a sum of positive squares in only one way, i.e., 119787978816 + 4888806400 = 346104^2 + 69920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124676785217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1234423566 + ... + 1234423666.

Almost surely, 2^124676785216 is an apocalyptic number.

124676785216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

124676785216 is the 353096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124676785216

124676785216 is an abundant number, since it is smaller than the sum of its proper divisors (151011002117).

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

124676785216 is an equidigital number, since it uses as much as digits as its factorization.

124676785216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 145 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 55.

The spelling of 124676785216 in words is "one hundred twenty-four billion, six hundred seventy-six million, seven hundred eighty-five thousand, two hundred sixteen".