45794288016 has 135 divisors (see below), whose sum is σ = 136272619171. Its totient is φ = 14353139712.

The previous prime is 45794288009. The next prime is 45794288039. The reversal of 45794288016 is 61088249754.

It is a happy number.

The square root of 45794288016 is 213996.

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

45794288016 is a `hidden beast` number, since 457 + 94 + 28 + 80 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22230810000 + 23563478016 = 149100^2 + 153504^2 .

It is a super-2 number, since 2×45794288016² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43654660 + ... + 43655708.

Almost surely, 2^45794288016 is an apocalyptic number.

45794288016 is the 213996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45794288016

45794288016 is an abundant number, since it is smaller than the sum of its proper divisors (90478331155).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45794288016 is a wasteful number, since it uses less digits than its factorization.

45794288016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 45794288016 in words is "forty-five billion, seven hundred ninety-four million, two hundred eighty-eight thousand, sixteen".