45840294045 has 288 divisors, whose sum is σ = 110963623680. Its totient is φ = 17244057600.

The previous prime is 45840294043. The next prime is 45840294127. The reversal of 45840294045 is 54049204854.

It is a happy number.

45840294045 is a `hidden beast` number, since 4 + 584 + 0 + 29 + 4 + 0 + 45 = 666.

It is not a de Polignac number, because 45840294045 - 2¹ = 45840294043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45840294043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9256320 + ... + 9261270.

It is an arithmetic number, because the mean of its divisors is an integer number (385290360).

Almost surely, 2^45840294045 is an apocalyptic number.

45840294045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45840294045 is an abundant number, since it is smaller than the sum of its proper divisors (65123329635).

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

45840294045 is a wasteful number, since it uses less digits than its factorization.

45840294045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

Adding to 45840294045 its reverse (54049204854), we get a palindrome (99889498899).

The spelling of 45840294045 in words is "forty-five billion, eight hundred forty million, two hundred ninety-four thousand, forty-five".