9922808702401 has 81 divisors (see below), whose sum is σ = 12430360245609. Its totient is φ = 7896391630848.

The previous prime is 9922808702369. The next prime is 9922808702407. The reversal of 9922808702401 is 1042078082299.

It is a happy number.

The square root of 9922808702401 is 3150049.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6621610416001 + 3301198286400 = 2573249^2 + 1816920^2 .

It is not a de Polignac number, because 9922808702401 - 2⁵ = 9922808702369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9922808702407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38610150465 + ... + 38610150721.

Almost surely, 2^{9922808702401} is an apocalyptic number.

9922808702401 is the 3150049-th square number.

9922808702401 is the 1575025-th centered octagonal number.

It is an amenable number.

9922808702401 is a deficient number, since it is larger than the sum of its proper divisors (2507551543208).

9922808702401 is an equidigital number, since it uses as much as digits as its factorization.

9922808702401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 9922808702401 in words is "nine trillion, nine hundred twenty-two billion, eight hundred eight million, seven hundred two thousand, four hundred one".