45056827200 has 1344 divisors, whose sum is σ = 199848923136. Its totient is φ = 8601600000.

The previous prime is 45056827187. The next prime is 45056827267. The reversal of 45056827200 is 272865054.

45056827200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 446107150 + ... + 446107250.

Almost surely, 2^45056827200 is an apocalyptic number.

45056827200 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 45056827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99924461568).

45056827200 is an abundant number, since it is smaller than the sum of its proper divisors (154792095936).

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

45056827200 is a wasteful number, since it uses less digits than its factorization.

45056827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 45056827200 in words is "forty-five billion, fifty-six million, eight hundred twenty-seven thousand, two hundred".