1146160708056 has 288 divisors, whose sum is σ = 3846004830720. Its totient is φ = 301931884800.

The previous prime is 1146160708051. The next prime is 1146160708079. The reversal of 1146160708056 is 6508070616411.

1146160708056 is a `hidden beast` number, since 1 + 1 + 461 + 60 + 7 + 0 + 80 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146160708051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77587951 + ... + 77602721.

It is an arithmetic number, because the mean of its divisors is an integer number (13354183440).

Almost surely, 2^{1146160708056} 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 1146160708056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923002415360).

1146160708056 is an abundant number, since it is smaller than the sum of its proper divisors (2699844122664).

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

1146160708056 is a wasteful number, since it uses less digits than its factorization.

1146160708056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15727 (or 15707 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1146160708056 in words is "one trillion, one hundred forty-six billion, one hundred sixty million, seven hundred eight thousand, fifty-six".