996385622401 has 16 divisors (see below), whose sum is σ = 1073860195408. Its totient is φ = 919029888000.

The previous prime is 996385622389. The next prime is 996385622411. The reversal of 996385622401 is 104226583699.

It can be written as a sum of positive squares in 8 ways, for example, as 477099644176 + 519285978225 = 690724^2 + 720615^2 .

It is a 3-Lehmer number, since φ(996385622401) divides (996385622401-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 996385622401 - 2⁷ = 996385622273 is a prime.

It is a deceptive number, since it divides R_996385622400.

It is not an unprimeable number, because it can be changed into a prime (996385622411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137675755 + ... + 137682991.

It is an arithmetic number, because the mean of its divisors is an integer number (67116262213).

It is a Poulet number, since it divides 2^996385622400-1.

Almost surely, 2^996385622401 is an apocalyptic number.

It is an amenable number.

996385622401 is a deficient number, since it is larger than the sum of its proper divisors (77474573007).

996385622401 is a wasteful number, since it uses less digits than its factorization.

996385622401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13972.

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 996385622401 in words is "nine hundred ninety-six billion, three hundred eighty-five million, six hundred twenty-two thousand, four hundred one".