1466652672 has 144 divisors (see below), whose sum is σ = 4328644320. Its totient is φ = 478199808.

The previous prime is 1466652667. The next prime is 1466652673. The reversal of 1466652672 is 2762566641.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1466652673) 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 11 ways as a sum of consecutive naturals, for example, 865458 + ... + 867150.

It is an arithmetic number, because the mean of its divisors is an integer number (30060030).

Almost surely, 2^1466652672 is an apocalyptic number.

1466652672 is a gapful number since it is divisible by the number (12) 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 1466652672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164322160).

1466652672 is an abundant number, since it is smaller than the sum of its proper divisors (2861991648).

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

1466652672 is a wasteful number, since it uses less digits than its factorization.

1466652672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1745 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 1466652672 is about 38296.9015979100. The cubic root of 1466652672 is about 1136.1676668477.

The spelling of 1466652672 in words is "one billion, four hundred sixty-six million, six hundred fifty-two thousand, six hundred seventy-two".