1127646912672 has 72 divisors (see below), whose sum is σ = 3664852472736. Its totient is φ = 322184831616.

The previous prime is 1127646912659. The next prime is 1127646912713. The reversal of 1127646912672 is 2762196467211.

1127646912672 is a `hidden beast` number, since 112 + 7 + 6 + 469 + 1 + 2 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 279672318 + ... + 279676349.

It is an arithmetic number, because the mean of its divisors is an integer number (50900728788).

Almost surely, 2^{1127646912672} is an apocalyptic number.

1127646912672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1127646912672 is an abundant number, since it is smaller than the sum of its proper divisors (2537205560064).

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

1127646912672 is a wasteful number, since it uses less digits than its factorization.

1127646912672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559348690 (or 559348679 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 1127646912672 in words is "one trillion, one hundred twenty-seven billion, six hundred forty-six million, nine hundred twelve thousand, six hundred seventy-two".