126246617344 has 81 divisors (see below), whose sum is σ = 257458971133. Its totient is φ = 61784493056.

The previous prime is 126246617339. The next prime is 126246617347. The reversal of 126246617344 is 443716642621.

The square root of 126246617344 is 355312.

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., 91010822400 + 35235794944 = 301680^2 + 187712^2 .

It is a super-2 number, since 2×126246617344² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 126246617294 and 126246617303.

It is not an unprimeable number, because it can be changed into a prime (126246617347) 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 8 ways as a sum of consecutive naturals, for example, 301304367 + ... + 301304785.

Almost surely, 2^126246617344 is an apocalyptic number.

126246617344 is the 355312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126246617344

126246617344 is an abundant number, since it is smaller than the sum of its proper divisors (131212353789).

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

126246617344 is an frugal number, since it uses more digits than its factorization.

126246617344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 474 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 46.

It can be divided in two parts, 126246 and 617344, that added together give a triangular number (743590 = T₁₂₁₉).

The spelling of 126246617344 in words is "one hundred twenty-six billion, two hundred forty-six million, six hundred seventeen thousand, three hundred forty-four".