545677616444200 has 384 divisors, whose sum is σ = 1293844263667200. Its totient is φ = 214007315512320.

The previous prime is 545677616444183. The next prime is 545677616444249. The reversal of 545677616444200 is 2444616776545.

It is a super-2 number, since 2×545677616444200² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 798942337059 + ... + 798942337741.

It is an arithmetic number, because the mean of its divisors is an integer number (3369386103300).

Almost surely, 2^{545677616444200} is an apocalyptic number.

545677616444200 is a gapful number since it is divisible by the number (50) 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 545677616444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646922131833600).

545677616444200 is an abundant number, since it is smaller than the sum of its proper divisors (748166647223000).

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

545677616444200 is a wasteful number, since it uses less digits than its factorization.

545677616444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 61.

The spelling of 545677616444200 in words is "five hundred forty-five trillion, six hundred seventy-seven billion, six hundred sixteen million, four hundred forty-four thousand, two hundred".