4485796920900 has 405 divisors, whose sum is σ = 14749882064533. Its totient is φ = 1179285696000.

The previous prime is 4485796920893. The next prime is 4485796920929. The reversal of 4485796920900 is 90296975844.

The square root of 4485796920900 is 2117970.

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

4485796920900 is a `hidden beast` number, since 4 + 485 + 7 + 9 + 69 + 2 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1682556613956 + 2803240306944 = 1297134^2 + 1674288^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19252347184 + ... + 19252347416.

Almost surely, 2^{4485796920900} is an apocalyptic number.

4485796920900 is the 2117970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4485796920900

4485796920900 is an abundant number, since it is smaller than the sum of its proper divisors (10264085143633).

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

4485796920900 is a wasteful number, since it uses less digits than its factorization.

4485796920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 4485796920900 in words is "four trillion, four hundred eighty-five billion, seven hundred ninety-six million, nine hundred twenty thousand, nine hundred".