126198941307648 has 864 divisors, whose sum is σ = 402013937267712. Its totient is φ = 34971897692160.

The previous prime is 126198941307641. The next prime is 126198941307661. The reversal of 126198941307648 is 846703149891621.

It is not an unprimeable number, because it can be changed into a prime (126198941307641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77565421011 + ... + 77565422637.

Almost surely, 2^{126198941307648} 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 126198941307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201006968633856).

126198941307648 is an abundant number, since it is smaller than the sum of its proper divisors (275814995960064).

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

126198941307648 is a wasteful number, since it uses less digits than its factorization.

126198941307648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 69.

The spelling of 126198941307648 in words is "one hundred twenty-six trillion, one hundred ninety-eight billion, nine hundred forty-one million, three hundred seven thousand, six hundred forty-eight".