45447335333400 has 768 divisors, whose sum is σ = 189214779479040. Its totient is φ = 8714767564800.

The previous prime is 45447335333371. The next prime is 45447335333423. The reversal of 45447335333400 is 433353374454.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45447335333400.

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 191 ways as a sum of consecutive naturals, for example, 2806595704 + ... + 2806611896.

It is an arithmetic number, because the mean of its divisors is an integer number (246373410780).

Almost surely, 2^{45447335333400} is an apocalyptic number.

45447335333400 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 45447335333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94607389739520).

45447335333400 is an abundant number, since it is smaller than the sum of its proper divisors (143767444145640).

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

45447335333400 is a wasteful number, since it uses less digits than its factorization.

45447335333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20916 (or 20907 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 48.

The spelling of 45447335333400 in words is "forty-five trillion, four hundred forty-seven billion, three hundred thirty-five million, three hundred thirty-three thousand, four hundred".