518376541837456 has 135 divisors (see below), whose sum is σ = 1067677875201483. Its totient is φ = 243794859010560.

The previous prime is 518376541837417. The next prime is 518376541837487. The reversal of 518376541837456 is 654738145673815.

The square root of 518376541837456 is 22767884.

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 161106664128400 + 357269877709056 = 12692780^2 + 18901584^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127773362980 + ... + 127773367036.

Almost surely, 2^{518376541837456} is an apocalyptic number.

518376541837456 is the 22767884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518376541837456

518376541837456 is an abundant number, since it is smaller than the sum of its proper divisors (549301333364027).

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

518376541837456 is an frugal number, since it uses more digits than its factorization.

518376541837456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8290 (or 4143 counting only the distinct ones).

The product of its digits is 2032128000, while the sum is 73.

The spelling of 518376541837456 in words is "five hundred eighteen trillion, three hundred seventy-six billion, five hundred forty-one million, eight hundred thirty-seven thousand, four hundred fifty-six".