45188476058880 has 2880 divisors, whose sum is σ = 208730375884800. Its totient is φ = 9251872358400.

The previous prime is 45188476058867. The next prime is 45188476058893. The reversal of 45188476058880 is 8885067488154.

45188476058880 is a `hidden beast` number, since 4 + 5 + 1 + 8 + 8 + 4 + 7 + 605 + 8 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45188476058867) and next prime (45188476058893).

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a junction number, because it is equal to n+sod(n) for n = 45188476058799 and 45188476058808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 27774108627 + ... + 27774110253.

It is an arithmetic number, because the mean of its divisors is an integer number (72475824960).

Almost surely, 2^{45188476058880} is an apocalyptic number.

45188476058880 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 45188476058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104365187942400).

45188476058880 is an abundant number, since it is smaller than the sum of its proper divisors (163541899825920).

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

45188476058880 is a wasteful number, since it uses less digits than its factorization.

45188476058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 550502400, while the sum is 72.

The spelling of 45188476058880 in words is "forty-five trillion, one hundred eighty-eight billion, four hundred seventy-six million, fifty-eight thousand, eight hundred eighty".