1145776315068 has 144 divisors (see below), whose sum is σ = 3612468787200. Its totient is φ = 297477532800.

The previous prime is 1145776315063. The next prime is 1145776315081. The reversal of 1145776315068 is 8605136775411.

1145776315068 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 77 + 63 + 1 + 506 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145776315063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6513333 + ... + 6686931.

It is an arithmetic number, because the mean of its divisors is an integer number (25086588800).

Almost surely, 2^{1145776315068} is an apocalyptic number.

1145776315068 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 1145776315068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806234393600).

1145776315068 is an abundant number, since it is smaller than the sum of its proper divisors (2466692472132).

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

1145776315068 is a wasteful number, since it uses less digits than its factorization.

1145776315068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176008 (or 176003 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 1145776315068 in words is "one trillion, one hundred forty-five billion, seven hundred seventy-six million, three hundred fifteen thousand, sixty-eight".