126345041361 has 192 divisors, whose sum is σ = 246085632000. Its totient is φ = 60493703040.

The previous prime is 126345041357. The next prime is 126345041371. The reversal of 126345041361 is 163140543621.

126345041361 is a `hidden beast` number, since 1 + 2 + 634 + 5 + 0 + 4 + 13 + 6 + 1 = 666.

It is not a de Polignac number, because 126345041361 - 2² = 126345041357 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126345041321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80015070 + ... + 80016648.

It is an arithmetic number, because the mean of its divisors is an integer number (1281696000).

Almost surely, 2^126345041361 is an apocalyptic number.

126345041361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126345041361 is a deficient number, since it is larger than the sum of its proper divisors (119740590639).

126345041361 is a wasteful number, since it uses less digits than its factorization.

126345041361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 126345041361 its reverse (163140543621), we get a palindrome (289485584982).

The spelling of 126345041361 in words is "one hundred twenty-six billion, three hundred forty-five million, forty-one thousand, three hundred sixty-one".