45331035111440 has 160 divisors (see below), whose sum is σ = 116601353806560. Its totient is φ = 16280803049472.

The previous prime is 45331035111437. The next prime is 45331035111443. The reversal of 45331035111440 is 4411153013354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45331035111437) and next prime (45331035111443).

It can be written as a sum of positive squares in 16 ways, for example, as 29571278450704 + 15759756660736 = 5437948^2 + 3969856^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45331035111440.

It is not an unprimeable number, because it can be changed into a prime (45331035111443) 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 31 ways as a sum of consecutive naturals, for example, 142563512 + ... + 142881128.

It is an arithmetic number, because the mean of its divisors is an integer number (728758461291).

Almost surely, 2^{45331035111440} is an apocalyptic number.

45331035111440 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 45331035111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58300676903280).

45331035111440 is an abundant number, since it is smaller than the sum of its proper divisors (71270318695120).

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

45331035111440 is a wasteful number, since it uses less digits than its factorization.

45331035111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321389 (or 321383 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 45331035111440 its reverse (4411153013354), we get a palindrome (49742188124794).

The spelling of 45331035111440 in words is "forty-five trillion, three hundred thirty-one billion, thirty-five million, one hundred eleven thousand, four hundred forty".