383569648900 has 27 divisors (see below), whose sum is σ = 832359577791. Its totient is φ = 153425382240.

The previous prime is 383569648867. The next prime is 383569648907. The reversal of 383569648900 is 9846965383.

The square root of 383569648900 is 619330.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15305153796 + 368264495104 = 123714^2 + 606848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (383569648907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6162334 + ... + 6224266.

Almost surely, 2^383569648900 is an apocalyptic number.

383569648900 is the 619330-th square number.

It is an amenable number.

383569648900 is an abundant number, since it is smaller than the sum of its proper divisors (448789928891).

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

383569648900 is an frugal number, since it uses more digits than its factorization.

383569648900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123880 (or 61940 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 61.

The spelling of 383569648900 in words is "three hundred eighty-three billion, five hundred sixty-nine million, six hundred forty-eight thousand, nine hundred".