45411183800 has 96 divisors (see below), whose sum is σ = 107925592320. Its totient is φ = 17761814400.

The previous prime is 45411183793. The next prime is 45411183823. The reversal of 45411183800 is 838111454.

It is a Cunningham number, because it is equal to 213099²-1.

It is a super-2 number, since 2×45411183800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20030267 + ... + 20032533.

It is an arithmetic number, because the mean of its divisors is an integer number (1124224920).

Almost surely, 2^45411183800 is an apocalyptic number.

45411183800 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 45411183800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53962796160).

45411183800 is an abundant number, since it is smaller than the sum of its proper divisors (62514408520).

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

45411183800 is a wasteful number, since it uses less digits than its factorization.

45411183800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 45411183800 in words is "forty-five billion, four hundred eleven million, one hundred eighty-three thousand, eight hundred".