45068020872480 has 384 divisors, whose sum is σ = 161616267671040. Its totient is φ = 11722769694720.

The previous prime is 45068020872451. The next prime is 45068020872481. The reversal of 45068020872480 is 8427802086054.

45068020872480 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 80 + 2 + 0 + 87 + 2 + 480 = 666.

It is a super-2 number, since 2×45068020872480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45068020872481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1054373989 + ... + 1054416731.

It is an arithmetic number, because the mean of its divisors is an integer number (420875697060).

Almost surely, 2^{45068020872480} is an apocalyptic number.

45068020872480 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 45068020872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80808133835520).

45068020872480 is an abundant number, since it is smaller than the sum of its proper divisors (116548246798560).

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

45068020872480 is a wasteful number, since it uses less digits than its factorization.

45068020872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48761 (or 48747 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 45068020872480 in words is "forty-five trillion, sixty-eight billion, twenty million, eight hundred seventy-two thousand, four hundred eighty".