653346643356 has 144 divisors (see below), whose sum is σ = 1912169579040. Its totient is φ = 192632774400.

The previous prime is 653346643343. The next prime is 653346643361.

It is a happy number.

653346643356 is a `hidden beast` number, since 6 + 533 + 4 + 66 + 43 + 3 + 5 + 6 = 666.

653346643356 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 192105 + ... + 1159136.

It is an arithmetic number, because the mean of its divisors is an integer number (13278955410).

Almost surely, 2^653346643356 is an apocalyptic number.

653346643356 is a gapful number since it is divisible by the number (66) 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 653346643356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956084789520).

653346643356 is an abundant number, since it is smaller than the sum of its proper divisors (1258822935684).

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

653346643356 is a wasteful number, since it uses less digits than its factorization.

653346643356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351313 (or 1351294 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 54.

The spelling of 653346643356 in words is "six hundred fifty-three billion, three hundred forty-six million, six hundred forty-three thousand, three hundred fifty-six".