45106486871121 has 24 divisors (see below), whose sum is σ = 70809367789160. Its totient is φ = 27503179001856.

The previous prime is 45106486871107. The next prime is 45106486871179. The reversal of 45106486871121 is 12117868460154.

45106486871121 is a `hidden beast` number, since 4 + 51 + 0 + 6 + 486 + 87 + 11 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6662903187600 + 38443583683521 = 2581260^2 + 6200289^2 .

It is not a de Polignac number, because 45106486871121 - 2⁹ = 45106486870609 is a prime.

It is a super-2 number, since 2×45106486871121² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45106486871021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1768452976 + ... + 1768478481.

Almost surely, 2^{45106486871121} is an apocalyptic number.

It is an amenable number.

45106486871121 is a deficient number, since it is larger than the sum of its proper divisors (25702880918039).

45106486871121 is a wasteful number, since it uses less digits than its factorization.

45106486871121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536931585 (or 3536931582 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 45106486871121 in words is "forty-five trillion, one hundred six billion, four hundred eighty-six million, eight hundred seventy-one thousand, one hundred twenty-one".