312020553744 has 45 divisors (see below), whose sum is σ = 873242948253. Its totient is φ = 104004616896.

The previous prime is 312020553737. The next prime is 312020553749. The reversal of 312020553744 is 447355020213.

The square root of 312020553744 is 558588.

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

312020553744 is a `hidden beast` number, since 3 + 12 + 0 + 20 + 553 + 74 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 303393859344 + 8626694400 = 550812^2 + 92880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 312020553699 and 312020553708.

It is not an unprimeable number, because it can be changed into a prime (312020553749) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 6679782 + ... + 6726330.

Almost surely, 2^312020553744 is an apocalyptic number.

312020553744 is the 558588-th square number.

It is an amenable number.

312020553744 is an abundant number, since it is smaller than the sum of its proper divisors (561222394509).

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

312020553744 is an frugal number, since it uses more digits than its factorization.

312020553744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93112 (or 46554 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Multiplying 312020553744 by its sum of digits (36), we get a square (11232739934784 = 3351528²).

312020553744 divided by its sum of digits (36) gives a square (8667237604 = 93098²).

Adding to 312020553744 its reverse (447355020213), we get a palindrome (759375573957).

The spelling of 312020553744 in words is "three hundred twelve billion, twenty million, five hundred fifty-three thousand, seven hundred forty-four".