45080948160 has 252 divisors, whose sum is σ = 164720415288. Its totient is φ = 11314225152.

The previous prime is 45080948147. The next prime is 45080948173. The reversal of 45080948160 is 6184908054.

45080948160 is a `hidden beast` number, since 4 + 508 + 0 + 9 + 4 + 81 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (45080948147) and next prime (45080948173).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 805239 + ... + 859401.

Almost surely, 2^45080948160 is an apocalyptic number.

45080948160 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 45080948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82360207644).

45080948160 is an abundant number, since it is smaller than the sum of its proper divisors (119639467128).

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

45080948160 is a wasteful number, since it uses less digits than its factorization.

45080948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54220 (or 54190 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 45080948160 in words is "forty-five billion, eighty million, nine hundred forty-eight thousand, one hundred sixty".