1653273648 has 180 divisors, whose sum is σ = 5154305520. Its totient is φ = 491754240.

The previous prime is 1653273631. The next prime is 1653273683. The reversal of 1653273648 is 8463723561.

1653273648 is a `hidden beast` number, since 1 + 6 + 532 + 73 + 6 + 48 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (725760) is a multiple of the sum of its prime factors (1008).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1798533 + ... + 1799451.

Almost surely, 2^1653273648 is an apocalyptic number.

1653273648 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 1653273648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577152760).

1653273648 is an abundant number, since it is smaller than the sum of its proper divisors (3501031872).

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

1653273648 is a wasteful number, since it uses less digits than its factorization.

1653273648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 968 counting only the distinct ones).

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

The square root of 1653273648 is about 40660.4678772884. The cubic root of 1653273648 is about 1182.4467206140.

The spelling of 1653273648 in words is "one billion, six hundred fifty-three million, two hundred seventy-three thousand, six hundred forty-eight".