45224769000 has 256 divisors, whose sum is σ = 149448499200. Its totient is φ = 11354400000.

The previous prime is 45224768999. The next prime is 45224769001. The reversal of 45224769000 is 96742254.

It is an interprime number because it is at equal distance from previous prime (45224768999) and next prime (45224769001).

It is a super-2 number, since 2×45224769000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45224769000.

It is not an unprimeable number, because it can be changed into a prime (45224769001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9516625 + ... + 9521375.

It is an arithmetic number, because the mean of its divisors is an integer number (583783200).

Almost surely, 2^45224769000 is an apocalyptic number.

45224769000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45224769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74724249600).

45224769000 is an abundant number, since it is smaller than the sum of its proper divisors (104223730200).

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

45224769000 is a wasteful number, since it uses less digits than its factorization.

45224769000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 45224769000 in words is "forty-five billion, two hundred twenty-four million, seven hundred sixty-nine thousand".