45733330944 has 420 divisors, whose sum is σ = 157010027104. Its totient is φ = 13042778112.

The previous prime is 45733330933. The next prime is 45733330969. The reversal of 45733330944 is 44903333754.

It is a happy number.

45733330944 is a `hidden beast` number, since 4 + 5 + 7 + 333 + 309 + 4 + 4 = 666.

It is a super-2 number, since 2×45733330944² (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 45733330944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 83607279 + ... + 83607825.

Almost surely, 2^45733330944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45733330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78505013552).

45733330944 is an abundant number, since it is smaller than the sum of its proper divisors (111276696160).

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

45733330944 is an frugal number, since it uses more digits than its factorization.

45733330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 45733330944 in words is "forty-five billion, seven hundred thirty-three million, three hundred thirty thousand, nine hundred forty-four".