1127948078401 has 9 divisors (see below), whose sum is σ = 1132414561953. Its totient is φ = 1123499155140.

The previous prime is 1127948078393. The next prime is 1127948078417. The reversal of 1127948078401 is 1048708497211.

The square root of 1127948078401 is 1062049.

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

It is not a de Polignac number, because 1127948078401 - 2³ = 1127948078393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1127948078431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 287813320 + ... + 287817238.

It is an arithmetic number, because the mean of its divisors is an integer number (125823840217).

Almost surely, 2^{1127948078401} is an apocalyptic number.

1127948078401 is the 1062049-th square number.

1127948078401 is the 531025-th centered octagonal number.

It is an amenable number.

1127948078401 is a deficient number, since it is larger than the sum of its proper divisors (4466483552).

1127948078401 is an frugal number, since it uses more digits than its factorization.

1127948078401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8380 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 52.

The spelling of 1127948078401 in words is "one trillion, one hundred twenty-seven billion, nine hundred forty-eight million, seventy-eight thousand, four hundred one".