9777822556401 has 63 divisors (see below), whose sum is σ = 14765205618121. Its totient is φ = 6472113148584.

The previous prime is 9777822556387. The next prime is 9777822556423. The reversal of 9777822556401 is 1046552287779.

The square root of 9777822556401 is 3126951.

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

9777822556401 is a `hidden beast` number, since 9 + 7 + 7 + 78 + 2 + 2 + 556 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 9777822556401 - 2²⁵ = 9777789001969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9777822556451) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 15112553860 + ... + 15112554506.

Almost surely, 2^{9777822556401} is an apocalyptic number.

9777822556401 is the 3126951-st square number.

9777822556401 is the 1563476-th centered octagonal number.

It is an amenable number.

9777822556401 is a deficient number, since it is larger than the sum of its proper divisors (4987383061720).

9777822556401 is an frugal number, since it uses more digits than its factorization.

9777822556401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 9777822556401 in words is "nine trillion, seven hundred seventy-seven billion, eight hundred twenty-two million, five hundred fifty-six thousand, four hundred one".