45379260106569 has 81 divisors (see below), whose sum is σ = 67392403257621. Its totient is φ = 29424651984000.

The previous prime is 45379260106547. The next prime is 45379260106597. The reversal of 45379260106569 is 96560106297354.

The square root of 45379260106569 is 6736413.

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

45379260106569 is a `hidden beast` number, since 4 + 5 + 3 + 7 + 9 + 2 + 60 + 1 + 0 + 6 + 569 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7696113510969 + 37683146595600 = 2774187^2 + 6138660^2 .

It is not a de Polignac number, because 45379260106569 - 2²⁵ = 45379226552137 is a prime.

It is a super-2 number, since 2×45379260106569² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45379260106529) 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, 161492028709 + ... + 161492028989.

Almost surely, 2^{45379260106569} is an apocalyptic number.

45379260106569 is the 6736413-rd square number.

45379260106569 is the 3368207-th centered octagonal number.

It is an amenable number.

45379260106569 is a deficient number, since it is larger than the sum of its proper divisors (22013143151052).

45379260106569 is an frugal number, since it uses more digits than its factorization.

45379260106569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 45379260106569 in words is "forty-five trillion, three hundred seventy-nine billion, two hundred sixty million, one hundred six thousand, five hundred sixty-nine".