1128695884801 has 27 divisors (see below), whose sum is σ = 1195533522243. Its totient is φ = 1065545706960.

The previous prime is 1128695884759. The next prime is 1128695884819. The reversal of 1128695884801 is 1084885968211.

The square root of 1128695884801 is 1062401.

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

It can be written as a sum of positive squares in only one way, i.e., 547326234225 + 581369650576 = 739815^2 + 762476^2 .

It is not a de Polignac number, because 1128695884801 - 2²¹ = 1128693787649 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1128695884801.

It is not an unprimeable number, because it can be changed into a prime (1128695084801) 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, 1416180135 + ... + 1416180931.

Almost surely, 2^{1128695884801} is an apocalyptic number.

1128695884801 is the 1062401-st square number.

1128695884801 is the 531201-st centered octagonal number.

It is an amenable number.

1128695884801 is a deficient number, since it is larger than the sum of its proper divisors (66837637442).

1128695884801 is an frugal number, since it uses more digits than its factorization.

1128695884801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 61.

The spelling of 1128695884801 in words is "one trillion, one hundred twenty-eight billion, six hundred ninety-five million, eight hundred eighty-four thousand, eight hundred one".