11054401642601 has 16 divisors (see below), whose sum is σ = 11712316954896. Its totient is φ = 10397339037696.

The previous prime is 11054401642517. The next prime is 11054401642633. The reversal of 11054401642601 is 10624610445011.

11054401642601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5936649202576 + 5117752440025 = 2436524^2 + 2262245^2 .

It is not a de Polignac number, because 11054401642601 - 2³⁰ = 11053327900777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11054401942601) 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, 201412175 + ... + 201467051.

It is an arithmetic number, because the mean of its divisors is an integer number (732019809681).

Almost surely, 2^{11054401642601} is an apocalyptic number.

It is an amenable number.

11054401642601 is a deficient number, since it is larger than the sum of its proper divisors (657915312295).

11054401642601 is a wasteful number, since it uses less digits than its factorization.

11054401642601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62428.

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 11054401642601 in words is "eleven trillion, fifty-four billion, four hundred one million, six hundred forty-two thousand, six hundred one".