126085177344 has 448 divisors, whose sum is σ = 402628608000. Its totient is φ = 34334834688.

The previous prime is 126085177321. The next prime is 126085177369. The reversal of 126085177344 is 443771580621.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 126085177293 and 126085177302.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 633593757 + ... + 633593955.

Almost surely, 2^126085177344 is an apocalyptic number.

126085177344 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 126085177344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201314304000).

126085177344 is an abundant number, since it is smaller than the sum of its proper divisors (276543430656).

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

126085177344 is a wasteful number, since it uses less digits than its factorization.

126085177344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 126085177344 in words is "one hundred twenty-six billion, eighty-five million, one hundred seventy-seven thousand, three hundred forty-four".