1361066112 has 256 divisors, whose sum is σ = 4637491200. Its totient is φ = 384943104.

The previous prime is 1361066051. The next prime is 1361066117. The reversal of 1361066112 is 2116601631.

1361066112 is a `hidden beast` number, since 1 + 36 + 10 + 6 + 611 + 2 = 666.

It is a super-2 number, since 2×1361066112² = 3705001922469593088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361066117) 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, 3072163 + ... + 3072605.

It is an arithmetic number, because the mean of its divisors is an integer number (18115200).

Almost surely, 2^1361066112 is an apocalyptic number.

1361066112 is a gapful number since it is divisible by the number (12) 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 1361066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318745600).

1361066112 is an abundant number, since it is smaller than the sum of its proper divisors (3276425088).

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

1361066112 is a wasteful number, since it uses less digits than its factorization.

1361066112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1361066112 is about 36892.6295078028. The cubic root of 1361066112 is about 1108.2210804486.

Adding to 1361066112 its reverse (2116601631), we get a palindrome (3477667743).

The spelling of 1361066112 in words is "one billion, three hundred sixty-one million, sixty-six thousand, one hundred twelve".