1461221316 has 72 divisors (see below), whose sum is σ = 3893900640. Its totient is φ = 473861664.

The previous prime is 1461221309. The next prime is 1461221323. The reversal of 1461221316 is 6131221641.

It is a happy number.

1461221316 is a `hidden beast` number, since 14 + 612 + 2 + 1 + 31 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1461221309) and next prime (1461221323).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1461221316.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142911 + ... + 152793.

Almost surely, 2^1461221316 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 1461221316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946950320).

1461221316 is an abundant number, since it is smaller than the sum of its proper divisors (2432679324).

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

1461221316 is a wasteful number, since it uses less digits than its factorization.

1461221316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9970 (or 9925 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1461221316 is about 38225.9246585351. The cubic root of 1461221316 is about 1134.7634343012.

Adding to 1461221316 its reverse (6131221641), we get a palindrome (7592442957).

The spelling of 1461221316 in words is "one billion, four hundred sixty-one million, two hundred twenty-one thousand, three hundred sixteen".