1413045648 has 400 divisors, whose sum is σ = 4990930560. Its totient is φ = 377395200.

The previous prime is 1413045643. The next prime is 1413045653. The reversal of 1413045648 is 8465403141.

1413045648 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 0 + 4 + 5 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (1413045643) and next prime (1413045653).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1413045643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10786543 + ... + 10786673.

Almost surely, 2^1413045648 is an apocalyptic number.

1413045648 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 1413045648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495465280).

1413045648 is an abundant number, since it is smaller than the sum of its proper divisors (3577884912).

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

1413045648 is a wasteful number, since it uses less digits than its factorization.

1413045648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1413045648 is about 37590.4994380229. The cubic root of 1413045648 is about 1122.1529717937.

Adding to 1413045648 its reverse (8465403141), we get a palindrome (9878448789).

The spelling of 1413045648 in words is "one billion, four hundred thirteen million, forty-five thousand, six hundred forty-eight".