45417150769 has 9 divisors (see below), whose sum is σ = 46301761569. Its totient is φ = 44549141520.

The previous prime is 45417150739. The next prime is 45417150791. The reversal of 45417150769 is 96705171454.

The square root of 45417150769 is 213113.

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 4243871025 + 41173279744 = 65145^2 + 202912^2 .

It is not a de Polignac number, because 45417150769 - 2¹³ = 45417142577 is a prime.

It is a super-2 number, since 2×45417150769² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45417150739) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11292979 + ... + 11296999.

Almost surely, 2^45417150769 is an apocalyptic number.

45417150769 is the 213113-rd square number.

45417150769 is the 106557-th centered octagonal number.

It is an amenable number.

45417150769 is a deficient number, since it is larger than the sum of its proper divisors (884610800).

45417150769 is an frugal number, since it uses more digits than its factorization.

45417150769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8148 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

Multiplying 45417150769 by its sum of digits (49), we get a square (2225440387681 = 1491791²).

The spelling of 45417150769 in words is "forty-five billion, four hundred seventeen million, one hundred fifty thousand, seven hundred sixty-nine".