126948851804399 has 32 divisors (see below), whose sum is σ = 134332794731520. Its totient is φ = 119636736680448.

The previous prime is 126948851804387. The next prime is 126948851804477. The reversal of 126948851804399 is 993408158849621.

It is a cyclic number.

It is not a de Polignac number, because 126948851804399 - 2⁸ = 126948851804143 is a prime.

It is a super-2 number, since 2×126948851804399² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126948851804339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9497176814 + ... + 9497190180.

It is an arithmetic number, because the mean of its divisors is an integer number (4197899835360).

Almost surely, 2^{126948851804399} is an apocalyptic number.

126948851804399 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

126948851804399 is a deficient number, since it is larger than the sum of its proper divisors (7383942927121).

126948851804399 is a wasteful number, since it uses less digits than its factorization.

126948851804399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16487.

The product of its (nonzero) digits is 1074954240, while the sum is 77.

The spelling of 126948851804399 in words is "one hundred twenty-six trillion, nine hundred forty-eight billion, eight hundred fifty-one million, eight hundred four thousand, three hundred ninety-nine".