1466682048 has 336 divisors, whose sum is σ = 4872431200. Its totient is φ = 420526080.

The previous prime is 1466682023. The next prime is 1466682071. The reversal of 1466682048 is 8402866641.

1466682048 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1466681994 and 1466682012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24043938 + ... + 24043998.

Almost surely, 2^1466682048 is an apocalyptic number.

1466682048 is a gapful number since it is divisible by the number (18) 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 1466682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436215600).

1466682048 is an abundant number, since it is smaller than the sum of its proper divisors (3405749152).

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

1466682048 is a wasteful number, since it uses less digits than its factorization.

1466682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 1466682048 is about 38297.2851257109. The cubic root of 1466682048 is about 1136.1752523380.

The spelling of 1466682048 in words is "one billion, four hundred sixty-six million, six hundred eighty-two thousand, forty-eight".