1127714031648 has 72 divisors (see below), whose sum is σ = 3207370119408. Its totient is φ = 375853882752.

The previous prime is 1127714031641. The next prime is 1127714031671. The reversal of 1127714031648 is 8461304177211.

1127714031648 is a `hidden beast` number, since 1 + 12 + 7 + 71 + 403 + 164 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1127714031641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1901215 + ... + 2422817.

It is an arithmetic number, because the mean of its divisors is an integer number (44546807214).

Almost surely, 2^{1127714031648} is an apocalyptic number.

1127714031648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1127714031648 is an abundant number, since it is smaller than the sum of its proper divisors (2079656087760).

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

1127714031648 is a wasteful number, since it uses less digits than its factorization.

1127714031648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529126 (or 529115 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1127714031648 in words is "one trillion, one hundred twenty-seven billion, seven hundred fourteen million, thirty-one thousand, six hundred forty-eight".