653006721444 has 144 divisors (see below), whose sum is σ = 1915555052544. Its totient is φ = 169478527680.

The previous prime is 653006721431. The next prime is 653006721449. The reversal of 653006721444 is 444127600356.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 653006721396 and 653006721405.

It is not an unprimeable number, because it can be changed into a prime (653006721449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13219039 + ... + 13268345.

Almost surely, 2^653006721444 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 653006721444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957777526272).

653006721444 is an abundant number, since it is smaller than the sum of its proper divisors (1262548331100).

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

653006721444 is a wasteful number, since it uses less digits than its factorization.

653006721444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50646 (or 50633 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 653006721444 in words is "six hundred fifty-three billion, six million, seven hundred twenty-one thousand, four hundred forty-four".