65286382144 has 105 divisors (see below), whose sum is σ = 140148348735. Its totient is φ = 30170856960.

The previous prime is 65286382121. The next prime is 65286382159. The reversal of 65286382144 is 44128368256.

The square root of 65286382144 is 255512.

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 53309268544 + 11977113600 = 230888^2 + 109440^2 .

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 1592350764 + ... + 1592350804.

Almost surely, 2^65286382144 is an apocalyptic number.

65286382144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

65286382144 is the 255512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65286382144

65286382144 is an abundant number, since it is smaller than the sum of its proper divisors (74861966591).

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

65286382144 is an frugal number, since it uses more digits than its factorization.

65286382144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 62 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 49.

Multiplying 65286382144 by its sum of digits (49), we get a square (3199032725056 = 1788584²).

The spelling of 65286382144 in words is "sixty-five billion, two hundred eighty-six million, three hundred eighty-two thousand, one hundred forty-four".