45176227200 has 1152 divisors, whose sum is σ = 186111525600. Its totient is φ = 10749542400.

The previous prime is 45176227199. The next prime is 45176227237. The reversal of 45176227200 is 272267154.

It is a happy number.

45176227200 is a `hidden beast` number, since 4 + 5 + 1 + 7 + 622 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 414460746 + ... + 414460854.

Almost surely, 2^45176227200 is an apocalyptic number.

45176227200 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 45176227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93055762800).

45176227200 is an abundant number, since it is smaller than the sum of its proper divisors (140935298400).

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

45176227200 is a wasteful number, since it uses less digits than its factorization.

45176227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 45176227200 in words is "forty-five billion, one hundred seventy-six million, two hundred twenty-seven thousand, two hundred".