1127623114816 has 105 divisors (see below), whose sum is σ = 2463620324845. Its totient is φ = 512088727040.

The previous prime is 1127623114811. The next prime is 1127623114823. The reversal of 1127623114816 is 6184113267211.

The square root of 1127623114816 is 1061896.

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., 320673038400 + 806950076416 = 566280^2 + 898304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1127623114811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1027914780 + ... + 1027915876.

Almost surely, 2^{1127623114816} is an apocalyptic number.

1127623114816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1127623114816 is the 1061896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127623114816

1127623114816 is an abundant number, since it is smaller than the sum of its proper divisors (1335997210029).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1127623114816 is an frugal number, since it uses more digits than its factorization.

1127623114816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 1110 counting only the distinct ones).

The product of its digits is 96768, while the sum is 43.

The spelling of 1127623114816 in words is "one trillion, one hundred twenty-seven billion, six hundred twenty-three million, one hundred fourteen thousand, eight hundred sixteen".