653424663312 has 210 divisors, whose sum is σ = 1925431359806. Its totient is φ = 214721176320.

The previous prime is 653424663293. The next prime is 653424663323. The reversal of 653424663312 is 213366424356.

653424663312 is a `hidden beast` number, since 6 + 5 + 3 + 4 + 2 + 4 + 6 + 633 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 348614670096 + 304809993216 = 590436^2 + 552096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 58792668 + ... + 58803780.

Almost surely, 2^653424663312 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 653424663312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962715679903).

653424663312 is an abundant number, since it is smaller than the sum of its proper divisors (1272006696494).

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

653424663312 is an equidigital number, since it uses as much as digits as its factorization.

653424663312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11281 (or 11189 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 653424663312 in words is "six hundred fifty-three billion, four hundred twenty-four million, six hundred sixty-three thousand, three hundred twelve".