1653055346944 has 81 divisors (see below), whose sum is σ = 3335220565131. Its totient is φ = 817712832000.

The previous prime is 1653055346851. The next prime is 1653055346989. The reversal of 1653055346944 is 4496435503561.

The square root of 1653055346944 is 1285712.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2201138569 + ... + 2201139319.

Almost surely, 2^{1653055346944} is an apocalyptic number.

1653055346944 is the 1285712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1653055346944

1653055346944 is an abundant number, since it is smaller than the sum of its proper divisors (1682165218187).

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

1653055346944 is an frugal number, since it uses more digits than its factorization.

1653055346944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 55.

The spelling of 1653055346944 in words is "one trillion, six hundred fifty-three billion, fifty-five million, three hundred forty-six thousand, nine hundred forty-four".