11777101441 has 12 divisors (see below), whose sum is σ = 14505770628. Its totient is φ = 9500854272.

The previous prime is 11777101429. The next prime is 11777101459. The reversal of 11777101441 is 14410177711.

It can be written as a sum of positive squares in 2 ways, for example, as 5736547600 + 6040553841 = 75740^2 + 77721^2 .

It is not a de Polignac number, because 11777101441 - 2⁵ = 11777101409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11777101397 and 11777101406.

It is not an unprimeable number, because it can be changed into a prime (11777101241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7068256 + ... + 7069921.

It is an arithmetic number, because the mean of its divisors is an integer number (1208814219).

Almost surely, 2^11777101441 is an apocalyptic number.

It is an amenable number.

11777101441 is a deficient number, since it is larger than the sum of its proper divisors (2728669187).

11777101441 is a wasteful number, since it uses less digits than its factorization.

11777101441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14138208 (or 14138201 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 34.

The spelling of 11777101441 in words is "eleven billion, seven hundred seventy-seven million, one hundred one thousand, four hundred forty-one".