70811051648256 has 720 divisors, whose sum is σ = 220129202684160. Its totient is φ = 22612916551680.

The previous prime is 70811051648243. The next prime is 70811051648317. The reversal of 70811051648256 is 65284615011807.

70811051648256 is a `hidden beast` number, since 7 + 0 + 8 + 1 + 105 + 1 + 6 + 482 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47748516891 + ... + 47748518373.

It is an arithmetic number, because the mean of its divisors is an integer number (305735003728).

Almost surely, 2^{70811051648256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70811051648256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110064601342080).

70811051648256 is an abundant number, since it is smaller than the sum of its proper divisors (149318151035904).

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

70811051648256 is a wasteful number, since it uses less digits than its factorization.

70811051648256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 70811051648256 in words is "seventy trillion, eight hundred eleven billion, fifty-one million, six hundred forty-eight thousand, two hundred fifty-six".