11535149876041 has 16 divisors (see below), whose sum is σ = 13032985412160. Its totient is φ = 10113026454720.

The previous prime is 11535149876023. The next prime is 11535149876059. The reversal of 11535149876041 is 14067894153511.

11535149876041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11535149876023) and next prime (11535149876059).

It is a cyclic number.

It is not a de Polignac number, because 11535149876041 - 2¹⁹ = 11535149351753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11535144876041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20923875 + ... + 21468088.

It is an arithmetic number, because the mean of its divisors is an integer number (814561588260).

Almost surely, 2^{11535149876041} is an apocalyptic number.

11535149876041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11535149876041 is a deficient number, since it is larger than the sum of its proper divisors (1497835536119).

11535149876041 is a wasteful number, since it uses less digits than its factorization.

11535149876041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42392856.

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 11535149876041 in words is "eleven trillion, five hundred thirty-five billion, one hundred forty-nine million, eight hundred seventy-six thousand, forty-one".