45175159486080 has 512 divisors, whose sum is σ = 179794133568000. Its totient is φ = 10636558073856.

The previous prime is 45175159486027. The next prime is 45175159486109. The reversal of 45175159486080 is 8068495157154.

45175159486080 is a `hidden beast` number, since 4 + 5 + 1 + 7 + 5 + 15 + 9 + 4 + 8 + 608 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45175159485999 and 45175159486017.

It is an unprimeable number.

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, 794976 + ... + 9538464.

It is an arithmetic number, because the mean of its divisors is an integer number (351160417125).

Almost surely, 2^{45175159486080} is an apocalyptic number.

45175159486080 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 45175159486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89897066784000).

45175159486080 is an abundant number, since it is smaller than the sum of its proper divisors (134618974081920).

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

45175159486080 is a wasteful number, since it uses less digits than its factorization.

45175159486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743553 (or 8743535 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 45175159486080 in words is "forty-five trillion, one hundred seventy-five billion, one hundred fifty-nine million, four hundred eighty-six thousand, eighty".