70118248784896 has 99 divisors (see below), whose sum is σ = 151787115613371. Its totient is φ = 32360660926464.

The previous prime is 70118248784893. The next prime is 70118248784911. The reversal of 70118248784896 is 69848784281107.

The square root of 70118248784896 is 8373664.

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

70118248784896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 334546560000 + 69783702224896 = 578400^2 + 8353664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70118248784893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3483434160 + ... + 3483454288.

Almost surely, 2^{70118248784896} is an apocalyptic number.

70118248784896 is the 8373664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70118248784896

70118248784896 is an abundant number, since it is smaller than the sum of its proper divisors (81668866828475).

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

70118248784896 is an frugal number, since it uses more digits than its factorization.

70118248784896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40304 (or 20144 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 73.

The spelling of 70118248784896 in words is "seventy trillion, one hundred eighteen billion, two hundred forty-eight million, seven hundred eighty-four thousand, eight hundred ninety-six".