45558168076800 has 480 divisors, whose sum is σ = 167268264979200. Its totient is φ = 12145383751680.

The previous prime is 45558168076793. The next prime is 45558168076831. The reversal of 45558168076800 is 867086185554.

45558168076800 is a `hidden beast` number, since 4 + 5 + 558 + 1 + 6 + 8 + 0 + 76 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×45558168076800² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1354389582 + ... + 1354423218.

It is an arithmetic number, because the mean of its divisors is an integer number (348475552040).

Almost surely, 2^{45558168076800} is an apocalyptic number.

45558168076800 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 45558168076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83634132489600).

45558168076800 is an abundant number, since it is smaller than the sum of its proper divisors (121710096902400).

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

45558168076800 is a wasteful number, since it uses less digits than its factorization.

45558168076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37593 (or 37566 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 45558168076800 in words is "forty-five trillion, five hundred fifty-eight billion, one hundred sixty-eight million, seventy-six thousand, eight hundred".