1461668544 has 224 divisors, whose sum is σ = 4949952000. Its totient is φ = 414305280.

The previous prime is 1461668543. The next prime is 1461668563. The reversal of 1461668544 is 4458661641.

1461668544 is a `hidden beast` number, since 1 + 46 + 1 + 6 + 68 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1461668544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461668543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1801899 + ... + 1802709.

It is an arithmetic number, because the mean of its divisors is an integer number (22098000).

Almost surely, 2^1461668544 is an apocalyptic number.

1461668544 is a gapful number since it is divisible by the number (14) 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 1461668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474976000).

1461668544 is an abundant number, since it is smaller than the sum of its proper divisors (3488283456).

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

1461668544 is a wasteful number, since it uses less digits than its factorization.

1461668544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 972 counting only the distinct ones).

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

The square root of 1461668544 is about 38231.7740106315. The cubic root of 1461668544 is about 1134.8791927673.

The spelling of 1461668544 in words is "one billion, four hundred sixty-one million, six hundred sixty-eight thousand, five hundred forty-four".