45544405200 has 240 divisors, whose sum is σ = 169883519616. Its totient is φ = 10213632000.

The previous prime is 45544405177. The next prime is 45544405217. The reversal of 45544405200 is 250444554.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×45544405200³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

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, 394050 + ... + 496350.

Almost surely, 2^45544405200 is an apocalyptic number.

45544405200 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 45544405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84941759808).

45544405200 is an abundant number, since it is smaller than the sum of its proper divisors (124339114416).

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

45544405200 is a wasteful number, since it uses less digits than its factorization.

45544405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102382 (or 102371 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

Adding to 45544405200 its reverse (250444554), we get a palindrome (45794849754).

The spelling of 45544405200 in words is "forty-five billion, five hundred forty-four million, four hundred five thousand, two hundred".