70007045326848 has 1728 divisors, whose sum is σ = 261067693723200. Its totient is φ = 18631106887680.

The previous prime is 70007045326831. The next prime is 70007045326849. The reversal of 70007045326848 is 84862354070007.

70007045326848 is a `hidden beast` number, since 7 + 0 + 0 + 0 + 7 + 0 + 4 + 532 + 68 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 70007045326794 and 70007045326803.

It is not an unprimeable number, because it can be changed into a prime (70007045326849) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 28262834986 + ... + 28262837462.

It is an arithmetic number, because the mean of its divisors is an integer number (151080841275).

Almost surely, 2^{70007045326848} 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 70007045326848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130533846861600).

70007045326848 is an abundant number, since it is smaller than the sum of its proper divisors (191060648396352).

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

70007045326848 is a wasteful number, since it uses less digits than its factorization.

70007045326848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 70007045326848 in words is "seventy trillion, seven billion, forty-five million, three hundred twenty-six thousand, eight hundred forty-eight".