45641871852480 has 224 divisors, whose sum is σ = 161453123758080. Its totient is φ = 12138001044480.

The previous prime is 45641871852347. The next prime is 45641871852487. The reversal of 45641871852480 is 8425817814654.

45641871852480 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 1 + 8 + 71 + 85 + 2 + 480 = 666.

It is a super-2 number, since 2×45641871852480² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45641871852487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4026156 + ... + 10367915.

It is an arithmetic number, because the mean of its divisors is an integer number (720772873920).

Almost surely, 2^{45641871852480} is an apocalyptic number.

45641871852480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45641871852480 is an abundant number, since it is smaller than the sum of its proper divisors (115811251905600).

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

45641871852480 is a wasteful number, since it uses less digits than its factorization.

45641871852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14394464 (or 14394448 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 45641871852480 in words is "forty-five trillion, six hundred forty-one billion, eight hundred seventy-one million, eight hundred fifty-two thousand, four hundred eighty".