126648992436480 has 432 divisors, whose sum is σ = 442964221867440. Its totient is φ = 33405677862912.

The previous prime is 126648992436433. The next prime is 126648992436523. The reversal of 126648992436480 is 84634299846621.

It is a happy number.

126648992436480 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 4 + 8 + 99 + 24 + 36 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19092844855296 + 107556147581184 = 4369536^2 + 10370928^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 126648992436399 and 126648992436408.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1999068484 + ... + 1999131836.

Almost surely, 2^{126648992436480} is an apocalyptic number.

126648992436480 is a gapful number since it is divisible by the number (10) 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 126648992436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221482110933720).

126648992436480 is an abundant number, since it is smaller than the sum of its proper divisors (316315229430960).

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

126648992436480 is a wasteful number, since it uses less digits than its factorization.

126648992436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65266 (or 65249 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 72.

The spelling of 126648992436480 in words is "one hundred twenty-six trillion, six hundred forty-eight billion, nine hundred ninety-two million, four hundred thirty-six thousand, four hundred eighty".