45534966670080 has 288 divisors, whose sum is σ = 162137412400320. Its totient is φ = 12101212569600.

The previous prime is 45534966670057. The next prime is 45534966670147. The reversal of 45534966670080 is 8007666943554.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7877680 + ... + 12374480.

It is an arithmetic number, because the mean of its divisors is an integer number (562977126390).

Almost surely, 2^{45534966670080} is an apocalyptic number.

45534966670080 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 45534966670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81068706200160).

45534966670080 is an abundant number, since it is smaller than the sum of its proper divisors (116602445730240).

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

45534966670080 is a wasteful number, since it uses less digits than its factorization.

45534966670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497124 (or 4497104 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 45534966670080 in words is "forty-five trillion, five hundred thirty-four billion, nine hundred sixty-six million, six hundred seventy thousand, eighty".