1561486464 has 128 divisors (see below), whose sum is σ = 4645080000. Its totient is φ = 516372480.

The previous prime is 1561486453. The next prime is 1561486471. The reversal of 1561486464 is 4646841651.

1561486464 is a `hidden beast` number, since 1 + 561 + 4 + 86 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451012 + ... + 454460.

Almost surely, 2^1561486464 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 1561486464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322540000).

1561486464 is an abundant number, since it is smaller than the sum of its proper divisors (3083593536).

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

1561486464 is a wasteful number, since it uses less digits than its factorization.

1561486464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3585 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1561486464 is about 39515.6483434095. The cubic root of 1561486464 is about 1160.1462518730.

The spelling of 1561486464 in words is "one billion, five hundred sixty-one million, four hundred eighty-six thousand, four hundred sixty-four".