1461036544 has 80 divisors (see below), whose sum is σ = 3323358720. Its totient is φ = 635176960.

The previous prime is 1461036539. The next prime is 1461036547. The reversal of 1461036544 is 4456301641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461036547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123897 + ... + 135175.

It is an arithmetic number, because the mean of its divisors is an integer number (41541984).

Almost surely, 2^1461036544 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 1461036544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661679360).

1461036544 is an abundant number, since it is smaller than the sum of its proper divisors (1862322176).

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

1461036544 is a wasteful number, since it uses less digits than its factorization.

1461036544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11331 (or 11315 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 1461036544 is about 38223.5077406561. The cubic root of 1461036544 is about 1134.7156018601.

The spelling of 1461036544 in words is "one billion, four hundred sixty-one million, thirty-six thousand, five hundred forty-four".