45107517061369 has 81 divisors (see below), whose sum is σ = 54883753984269. Its totient is φ = 36963887163840.

The previous prime is 45107517061363. The next prime is 45107517061421. The reversal of 45107517061369 is 96316071570154.

It is a happy number.

The square root of 45107517061369 is 6716213.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9903325772025 + 35204191289344 = 3146955^2 + 5933312^2 .

It is not a de Polignac number, because 45107517061369 - 2¹³ = 45107517053177 is a prime.

It is a super-2 number, since 2×45107517061369² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45107517061363) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 107143745779 + ... + 107143746199.

Almost surely, 2^{45107517061369} is an apocalyptic number.

45107517061369 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45107517061369 is the 6716213-rd square number.

45107517061369 is the 3358107-th centered octagonal number.

It is an amenable number.

45107517061369 is a deficient number, since it is larger than the sum of its proper divisors (9776236922900).

45107517061369 is an frugal number, since it uses more digits than its factorization.

45107517061369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 55.

The spelling of 45107517061369 in words is "forty-five trillion, one hundred seven billion, five hundred seventeen million, sixty-one thousand, three hundred sixty-nine".