11442657634261 has 12 divisors (see below), whose sum is σ = 13310943877260. Its totient is φ = 9807920606400.

The previous prime is 11442657634223. The next prime is 11442657634271. The reversal of 11442657634261 is 16243675624411.

11442657634261 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 2 ways, for example, as 1956904423236 + 9485753211025 = 1398894^2 + 3079895^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11442657634261 is a prime.

It is a super-2 number, since 2×11442657634261² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11442657634199 and 11442657634208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442657634271) 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, 6576411 + ... + 8132311.

It is an arithmetic number, because the mean of its divisors is an integer number (1109245323105).

Almost surely, 2^{11442657634261} is an apocalyptic number.

It is an amenable number.

11442657634261 is a deficient number, since it is larger than the sum of its proper divisors (1868286242999).

11442657634261 is a wasteful number, since it uses less digits than its factorization.

11442657634261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706004 (or 1705997 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 52.

The spelling of 11442657634261 in words is "eleven trillion, four hundred forty-two billion, six hundred fifty-seven million, six hundred thirty-four thousand, two hundred sixty-one".