1130661167616 has 480 divisors, whose sum is σ = 3506132401200. Its totient is φ = 349524983808.

The previous prime is 1130661167611. The next prime is 1130661167617. The reversal of 1130661167616 is 6167611660311.

1130661167616 is a `hidden beast` number, since 1 + 13 + 0 + 6 + 6 + 1 + 16 + 7 + 616 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 99542774016 + 1031118393600 = 315504^2 + 1015440^2 .

It is not an unprimeable number, because it can be changed into a prime (1130661167611) 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, 1832513740 + ... + 1832514356.

Almost surely, 2^{1130661167616} is an apocalyptic number.

1130661167616 is a gapful number since it is divisible by the number (16) 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 1130661167616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753066200600).

1130661167616 is an abundant number, since it is smaller than the sum of its proper divisors (2375471233584).

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

1130661167616 is a wasteful number, since it uses less digits than its factorization.

1130661167616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1130661167616 in words is "one trillion, one hundred thirty billion, six hundred sixty-one million, one hundred sixty-seven thousand, six hundred sixteen".