45864077281 has 9 divisors (see below), whose sum is σ = 50415170323. Its totient is φ = 41692474120.

The previous prime is 45864077243. The next prime is 45864077293. The reversal of 45864077281 is 18277046854.

The square root of 45864077281 is 214159.

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

It can be written as a sum of positive squares in only one way, i.e., 16793827281 + 29070250000 = 129591^2 + 170500^2 .

It is not a de Polignac number, because 45864077281 - 2¹⁷ = 45863946209 is a prime.

It is a super-2 number, since 2×45864077281² (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 (45864077201) 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, 2346015 + ... + 2365483.

Almost surely, 2^45864077281 is an apocalyptic number.

45864077281 is the 214159-th square number.

45864077281 is the 107080-th centered octagonal number.

It is an amenable number.

45864077281 is a deficient number, since it is larger than the sum of its proper divisors (4551093042).

45864077281 is an frugal number, since it uses more digits than its factorization.

45864077281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38960 (or 19480 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 52.

The spelling of 45864077281 in words is "forty-five billion, eight hundred sixty-four million, seventy-seven thousand, two hundred eighty-one".