1183427040768 has 320 divisors, whose sum is σ = 3742455467520. Its totient is φ = 325140480000.

The previous prime is 1183427040767. The next prime is 1183427040781. The reversal of 1183427040768 is 8670407243811.

It is a self number, because there is not a number n which added to its sum of digits gives 1183427040768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1183427040767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78256248 + ... + 78271368.

It is an arithmetic number, because the mean of its divisors is an integer number (11695173336).

Almost surely, 2^{1183427040768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1183427040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871227733760).

1183427040768 is an abundant number, since it is smaller than the sum of its proper divisors (2559028426752).

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

1183427040768 is a wasteful number, since it uses less digits than its factorization.

1183427040768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15429 (or 15413 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 1183427040768 in words is "one trillion, one hundred eighty-three billion, four hundred twenty-seven million, forty thousand, seven hundred sixty-eight".