1139336160768 has 1280 divisors, whose sum is σ = 3977565419520. Its totient is φ = 323202908160.

The previous prime is 1139336160763. The next prime is 1139336160799. The reversal of 1139336160768 is 8670616339311.

1139336160768 is a `hidden beast` number, since 1 + 1 + 393 + 36 + 160 + 7 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139336160763) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13726941655 + ... + 13726941737.

It is an arithmetic number, because the mean of its divisors is an integer number (3107472984).

Almost surely, 2^{1139336160768} is an apocalyptic number.

1139336160768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1139336160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988782709760).

1139336160768 is an abundant number, since it is smaller than the sum of its proper divisors (2838229258752).

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

1139336160768 is an frugal number, since it uses more digits than its factorization.

1139336160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 1139336160768 in words is "one trillion, one hundred thirty-nine billion, three hundred thirty-six million, one hundred sixty thousand, seven hundred sixty-eight".