1131338922768 has 160 divisors (see below), whose sum is σ = 3505398854400. Its totient is φ = 348278160384.

The previous prime is 1131338922767. The next prime is 1131338922787. The reversal of 1131338922768 is 8672298331311.

1131338922768 is a `hidden beast` number, since 1 + 1 + 31 + 3 + 389 + 227 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1131338922767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675005 + ... + 2251292.

It is an arithmetic number, because the mean of its divisors is an integer number (21908742840).

Almost surely, 2^{1131338922768} is an apocalyptic number.

1131338922768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1131338922768 is an abundant number, since it is smaller than the sum of its proper divisors (2374059931632).

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

1131338922768 is a wasteful number, since it uses less digits than its factorization.

1131338922768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926366 (or 3926354 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 1131338922768 in words is "one trillion, one hundred thirty-one billion, three hundred thirty-eight million, nine hundred twenty-two thousand, seven hundred sixty-eight".