653461164356 has 384 divisors, whose sum is σ = 1627328102400. Its totient is φ = 221298739200.

The previous prime is 653461164331. The next prime is 653461164383.

653461164356 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×653461164356² (a number of 24 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 3283724345 + ... + 3283724543.

It is an arithmetic number, because the mean of its divisors is an integer number (4237833600).

Almost surely, 2^653461164356 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 653461164356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813664051200).

653461164356 is an abundant number, since it is smaller than the sum of its proper divisors (973866938044).

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

653461164356 is a wasteful number, since it uses less digits than its factorization.

653461164356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 633 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 50.

The spelling of 653461164356 in words is "six hundred fifty-three billion, four hundred sixty-one million, one hundred sixty-four thousand, three hundred fifty-six".