115761442406401 has 4 divisors (see below), whose sum is σ = 126285209897904. Its totient is φ = 105237674914900.

The previous prime is 115761442406369. The next prime is 115761442406411. The reversal of 115761442406401 is 104604244167511.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 115761442406401 - 2⁵ = 115761442406369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115761442406411) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5261883745735 + ... + 5261883745756.

It is an arithmetic number, because the mean of its divisors is an integer number (31571302474476).

Almost surely, 2^{115761442406401} is an apocalyptic number.

115761442406401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

115761442406401 is a deficient number, since it is larger than the sum of its proper divisors (10523767491503).

115761442406401 is a wasteful number, since it uses less digits than its factorization.

115761442406401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10523767491502.

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 115761442406401 in words is "one hundred fifteen trillion, seven hundred sixty-one billion, four hundred forty-two million, four hundred six thousand, four hundred one".