70404846788864 has 162 divisors, whose sum is σ = 170895949114590. Its totient is φ = 28861611491328.

The previous prime is 70404846788851. The next prime is 70404846788909. The reversal of 70404846788864 is 46888764840407.

It is a happy number.

70404846788864 is digitally balanced in base 3, 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 only one way, i.e., 60721497760000 + 9683349028864 = 7792400^2 + 3111808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 70404846788791 and 70404846788800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1330832 + ... + 11940720.

Almost surely, 2^{70404846788864} 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 70404846788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85447974557295).

70404846788864 is an abundant number, since it is smaller than the sum of its proper divisors (100491102325726).

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

70404846788864 is a wasteful number, since it uses less digits than its factorization.

70404846788864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10609965 (or 10609921 counting only the distinct ones).

The product of its (nonzero) digits is 1849688064, while the sum is 74.

The spelling of 70404846788864 in words is "seventy trillion, four hundred four billion, eight hundred forty-six million, seven hundred eighty-eight thousand, eight hundred sixty-four".