126803710944 has 144 divisors (see below), whose sum is σ = 371193771312. Its totient is φ = 41042386944.

The previous prime is 126803710919. The next prime is 126803711017. The reversal of 126803710944 is 449017308621.

126803710944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×126803710944² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126803710944.

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 23 ways as a sum of consecutive naturals, for example, 1437787 + ... + 1523429.

It is an arithmetic number, because the mean of its divisors is an integer number (2577734523).

Almost surely, 2^126803710944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126803710944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185596885656).

126803710944 is an abundant number, since it is smaller than the sum of its proper divisors (244390060368).

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

126803710944 is a wasteful number, since it uses less digits than its factorization.

126803710944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85809 (or 85798 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 126803710944 in words is "one hundred twenty-six billion, eight hundred three million, seven hundred ten thousand, nine hundred forty-four".