126715956444 has 720 divisors, whose sum is σ = 439605847296. Its totient is φ = 30895603200.

The previous prime is 126715956391. The next prime is 126715956461. The reversal of 126715956444 is 444659517621.

126715956444 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 1 + 595 + 6 + 4 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1891282899 + ... + 1891282965.

Almost surely, 2^126715956444 is an apocalyptic number.

126715956444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126715956444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219802923648).

126715956444 is an abundant number, since it is smaller than the sum of its proper divisors (312889890852).

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

126715956444 is a wasteful number, since it uses less digits than its factorization.

126715956444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 174 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 126715956444 in words is "one hundred twenty-six billion, seven hundred fifteen million, nine hundred fifty-six thousand, four hundred forty-four".