70201306841344 has 216 divisors, whose sum is σ = 165242794250520. Its totient is φ = 29676318916608.

The previous prime is 70201306841339. The next prime is 70201306841353. The reversal of 70201306841344 is 44314860310207.

It can be written as a sum of positive squares in 4 ways, for example, as 11038873350400 + 59162433490944 = 3322480^2 + 7691712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 70201306841344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269678802 + ... + 269938990.

It is an arithmetic number, because the mean of its divisors is an integer number (765012936345).

Almost surely, 2^{70201306841344} 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 70201306841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82621397125260).

70201306841344 is an abundant number, since it is smaller than the sum of its proper divisors (95041487409176).

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

70201306841344 is a wasteful number, since it uses less digits than its factorization.

70201306841344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260513 (or 260492 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 70201306841344 in words is "seventy trillion, two hundred one billion, three hundred six million, eight hundred forty-one thousand, three hundred forty-four".