655484544400 has 135 divisors (see below), whose sum is σ = 1832228916321. Its totient is φ = 224698696320.

The previous prime is 655484544343. The next prime is 655484544401. The reversal of 655484544400 is 4445484556.

The square root of 655484544400 is 809620.

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

It can be written as a sum of positive squares in only one way, i.e., 235974435984 + 419510108416 = 485772^2 + 647696^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (655484544401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 113343909 + ... + 113349691.

Almost surely, 2^655484544400 is an apocalyptic number.

655484544400 is the 809620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 655484544400

655484544400 is an abundant number, since it is smaller than the sum of its proper divisors (1176744371921).

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

655484544400 is an frugal number, since it uses more digits than its factorization.

655484544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11598 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 49.

Multiplying 655484544400 by its sum of digits (49), we get a square (32118742675600 = 5667340²).

655484544400 divided by its sum of digits (49) gives a square (13377235600 = 115660²).

The spelling of 655484544400 in words is "six hundred fifty-five billion, four hundred eighty-four million, five hundred forty-four thousand, four hundred".