45329569579008 has 768 divisors, whose sum is σ = 158810736913920. Its totient is φ = 12270226636800.

The previous prime is 45329569578971. The next prime is 45329569579087. The reversal of 45329569579008 is 80097596592354.

It is a happy number.

45329569579008 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 9 + 569 + 57 + 9 + 0 + 0 + 8 = 666.

45329569579008 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1307327560 + ... + 1307362232.

It is an arithmetic number, because the mean of its divisors is an integer number (206784813690).

Almost surely, 2^{45329569579008} is an apocalyptic number.

45329569579008 is a gapful number since it is divisible by the number (48) 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 45329569579008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79405368456960).

45329569579008 is an abundant number, since it is smaller than the sum of its proper divisors (113481167334912).

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

45329569579008 is a wasteful number, since it uses less digits than its factorization.

45329569579008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34764 (or 34733 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 45329569579008 in words is "forty-five trillion, three hundred twenty-nine billion, five hundred sixty-nine million, five hundred seventy-nine thousand, eight".