87722330640401 has 8 divisors (see below), whose sum is σ = 89062320039144. Its totient is φ = 86392230462720.

The previous prime is 87722330640359. The next prime is 87722330640409. The reversal of 87722330640401 is 10404603322778.

It is a Cunningham number, because it is equal to 9366020²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1545735212176 + 86176595428225 = 1243276^2 + 9283135^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 87722330640401 - 2¹⁴ = 87722330624017 is a prime.

It is a super-3 number, since 3×87722330640401³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87722330640409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2472287390 + ... + 2472322871.

It is an arithmetic number, because the mean of its divisors is an integer number (11132790004893).

Almost surely, 2^{87722330640401} is an apocalyptic number.

It is an amenable number.

87722330640401 is a deficient number, since it is larger than the sum of its proper divisors (1339989398743).

87722330640401 is a wasteful number, since it uses less digits than its factorization.

87722330640401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944610531.

The product of its (nonzero) digits is 1354752, while the sum is 47.

The spelling of 87722330640401 in words is "eighty-seven trillion, seven hundred twenty-two billion, three hundred thirty million, six hundred forty thousand, four hundred one".