45334447200 has 1152 divisors, whose sum is σ = 198737280000. Its totient is φ = 9957427200.

The previous prime is 45334447181. The next prime is 45334447217. The reversal of 45334447200 is 274443354.

45334447200 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 4 + 447 + 200 = 666.

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 191 ways as a sum of consecutive naturals, for example, 214855095 + ... + 214855305.

It is an arithmetic number, because the mean of its divisors is an integer number (172515000).

Almost surely, 2^45334447200 is an apocalyptic number.

45334447200 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 45334447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99368640000).

45334447200 is an abundant number, since it is smaller than the sum of its proper divisors (153402832800).

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

45334447200 is a wasteful number, since it uses less digits than its factorization.

45334447200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 45334447200 in words is "forty-five billion, three hundred thirty-four million, four hundred forty-seven thousand, two hundred".