653642220144 has 160 divisors (see below), whose sum is σ = 1732236352000. Its totient is φ = 212323617792.

The previous prime is 653642220139. The next prime is 653642220157. The reversal of 653642220144 is 441022246356.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322148922 + ... + 322150950.

It is an arithmetic number, because the mean of its divisors is an integer number (10826477200).

Almost surely, 2^653642220144 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 653642220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866118176000).

653642220144 is an abundant number, since it is smaller than the sum of its proper divisors (1078594131856).

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

653642220144 is a wasteful number, since it uses less digits than its factorization.

653642220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 653642220144 in words is "six hundred fifty-three billion, six hundred forty-two million, two hundred twenty thousand, one hundred forty-four".