1461713112 has 96 divisors (see below), whose sum is σ = 4146854400. Its totient is φ = 464257728.

The previous prime is 1461713101. The next prime is 1461713167. The reversal of 1461713112 is 2113171641.

1461713112 is a `hidden beast` number, since 1 + 4 + 617 + 1 + 31 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467089 + ... + 470207.

It is an arithmetic number, because the mean of its divisors is an integer number (43196400).

Almost surely, 2^1461713112 is an apocalyptic number.

1461713112 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 1461713112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073427200).

1461713112 is an abundant number, since it is smaller than the sum of its proper divisors (2685141288).

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

1461713112 is a wasteful number, since it uses less digits than its factorization.

1461713112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3430 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 1461713112 is about 38232.3568721574. The cubic root of 1461713112 is about 1134.8907272523.

Adding to 1461713112 its reverse (2113171641), we get a palindrome (3574884753).

The spelling of 1461713112 in words is "one billion, four hundred sixty-one million, seven hundred thirteen thousand, one hundred twelve".