1127824884081 has 81 divisors (see below), whose sum is σ = 1968890552811. Its totient is φ = 644127277248.

The previous prime is 1127824884013. The next prime is 1127824884107. The reversal of 1127824884081 is 1804884287211.

The square root of 1127824884081 is 1061991.

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

1127824884081 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 82 + 488 + 4 + 0 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29906514225 + 1097918369856 = 172935^2 + 1047816^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 1127824884081 - 2⁷ = 1127824883953 is a prime.

It is a super-2 number, since 2×1127824884081² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1127824884881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 602147961 + ... + 602149833.

Almost surely, 2^{1127824884081} is an apocalyptic number.

1127824884081 is the 1061991-st square number.

1127824884081 is the 530996-th centered octagonal number.

It is an amenable number.

1127824884081 is a deficient number, since it is larger than the sum of its proper divisors (841065668730).

1127824884081 is an frugal number, since it uses more digits than its factorization.

1127824884081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The spelling of 1127824884081 in words is "one trillion, one hundred twenty-seven billion, eight hundred twenty-four million, eight hundred eighty-four thousand, eighty-one".