4745345844000 has 192 divisors, whose sum is σ = 15547319528832. Its totient is φ = 1265298048000.

The previous prime is 4745345843963. The next prime is 4745345844067. The reversal of 4745345844000 is 4485435474.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224281422 + ... + 224302578.

It is an arithmetic number, because the mean of its divisors is an integer number (80975622546).

Almost surely, 2^{4745345844000} is an apocalyptic number.

4745345844000 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 4745345844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7773659764416).

4745345844000 is an abundant number, since it is smaller than the sum of its proper divisors (10801973684832).

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

4745345844000 is a wasteful number, since it uses less digits than its factorization.

4745345844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39876 (or 39858 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 48.

The spelling of 4745345844000 in words is "four trillion, seven hundred forty-five billion, three hundred forty-five million, eight hundred forty-four thousand".