1461541356 has 144 divisors (see below), whose sum is σ = 4160782080. Its totient is φ = 428787840.

The previous prime is 1461541339. The next prime is 1461541369. The reversal of 1461541356 is 6531451641.

1461541356 is a `hidden beast` number, since 1 + 4 + 61 + 541 + 3 + 56 = 666.

It is a super-2 number, since 2×1461541356² = 4272206270596637472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1461541356.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1741585 + ... + 1742423.

It is an arithmetic number, because the mean of its divisors is an integer number (28894320).

Almost surely, 2^1461541356 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 1461541356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080391040).

1461541356 is an abundant number, since it is smaller than the sum of its proper divisors (2699240724).

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

1461541356 is a wasteful number, since it uses less digits than its factorization.

1461541356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 991 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1461541356 is about 38230.1105936146. The cubic root of 1461541356 is about 1134.8462744055.

Adding to 1461541356 its reverse (6531451641), we get a palindrome (7992992997).

The spelling of 1461541356 in words is "one billion, four hundred sixty-one million, five hundred forty-one thousand, three hundred fifty-six".