70368744177664 has 47 divisors (see below), whose sum is σ = 140737488355327. Its totient is φ = 35184372088832.

The previous prime is 70368744177643. The next prime is 70368744177679. The reversal of 70368744177664 is 46677144786307.

The square root of 70368744177664 is 8388608.

It is a perfect power (a square, a 23-rd power, a 46-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)⁴⁶.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=2048.

It is a Duffinian number.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 70368744177593 and 70368744177602.

It is an unprimeable number.

In principle, a polygon with 70368744177664 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

Almost surely, 2^{70368744177664} is an apocalyptic number.

70368744177664 is the 8388608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70368744177664

70368744177664 is a deficient number, since it is larger than the sum of its proper divisors (70368744177663).

70368744177664 is an frugal number, since it uses more digits than its factorization.

70368744177664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 2 counting only the distinct ones).

The product of its (nonzero) digits is 796594176, while the sum is 70.

The spelling of 70368744177664 in words is "seventy trillion, three hundred sixty-eight billion, seven hundred forty-four million, one hundred seventy-seven thousand, six hundred sixty-four".