1461929664 has 112 divisors (see below), whose sum is σ = 4213006560. Its totient is φ = 444702720.

The previous prime is 1461929663. The next prime is 1461929717. The reversal of 1461929664 is 4669291641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1461929663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218854 + ... + 225434.

It is an arithmetic number, because the mean of its divisors is an integer number (37616130).

Almost surely, 2^1461929664 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 1461929664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106503280).

1461929664 is an abundant number, since it is smaller than the sum of its proper divisors (2751076896).

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

1461929664 is a wasteful number, since it uses less digits than its factorization.

1461929664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6698 (or 6688 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 1461929664 is about 38235.1888186785. The cubic root of 1461929664 is about 1134.9467689655.

The spelling of 1461929664 in words is "one billion, four hundred sixty-one million, nine hundred twenty-nine thousand, six hundred sixty-four".