4605745210000 has 225 divisors, whose sum is σ = 12263136586239. Its totient is φ = 1673958000000.

The previous prime is 4605745209979. The next prime is 4605745210009. The reversal of 4605745210000 is 125475064.

The square root of 4605745210000 is 2146100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 361090424464 + 4244654785536 = 600908^2 + 2060256^2 .

It is not an unprimeable number, because it can be changed into a prime (4605745210009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2360709025 + ... + 2360710975.

Almost surely, 2^{4605745210000} is an apocalyptic number.

4605745210000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4605745210000 is the 2146100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4605745210000

4605745210000 is an abundant number, since it is smaller than the sum of its proper divisors (7657391376239).

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

4605745210000 is an frugal number, since it uses more digits than its factorization.

4605745210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 4605745210000 in words is "four trillion, six hundred five billion, seven hundred forty-five million, two hundred ten thousand".