126394090944 has 672 divisors, whose sum is σ = 406681228800. Its totient is φ = 34488115200.

The previous prime is 126394090903. The next prime is 126394091023. The reversal of 126394090944 is 449090493621.

It is a super-2 number, since 2×126394090944² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1159578762 + ... + 1159578870.

It is an arithmetic number, because the mean of its divisors is an integer number (605180400).

Almost surely, 2^126394090944 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 126394090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203340614400).

126394090944 is an abundant number, since it is smaller than the sum of its proper divisors (280287137856).

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

126394090944 is a wasteful number, since it uses less digits than its factorization.

126394090944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 126394090944 in words is "one hundred twenty-six billion, three hundred ninety-four million, ninety thousand, nine hundred forty-four".