70721355340801 has 27 divisors (see below), whose sum is σ = 78190050770209. Its totient is φ = 63917998159400.

The previous prime is 70721355340733. The next prime is 70721355340837. The reversal of 70721355340801 is 10804355312707.

The square root of 70721355340801 is 8409599.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 70721355340801 - 2¹³ = 70721355332609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70721355340871) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16558498296 + ... + 16558502566.

Almost surely, 2^{70721355340801} is an apocalyptic number.

70721355340801 is the 8409599-th square number.

70721355340801 is the 4204800-th centered octagonal number.

It is an amenable number.

70721355340801 is a deficient number, since it is larger than the sum of its proper divisors (7468695429408).

70721355340801 is an frugal number, since it uses more digits than its factorization.

70721355340801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8922 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 70721355340801 in words is "seventy trillion, seven hundred twenty-one billion, three hundred fifty-five million, three hundred forty thousand, eight hundred one".