1653018444 has 144 divisors (see below), whose sum is σ = 5389413120. Its totient is φ = 414529920.

The previous prime is 1653018421. The next prime is 1653018461. The reversal of 1653018444 is 4448103561.

1653018444 is a `hidden beast` number, since 1 + 6 + 530 + 1 + 84 + 44 = 666.

It is a super-2 number, since 2×1653018444² = 5464939952408362272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1653018399 and 1653018408.

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, 70107 + ... + 90669.

It is an arithmetic number, because the mean of its divisors is an integer number (37426480).

Almost surely, 2^1653018444 is an apocalyptic number.

1653018444 is a gapful number since it is divisible by the number (14) 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 1653018444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694706560).

1653018444 is an abundant number, since it is smaller than the sum of its proper divisors (3736394676).

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

1653018444 is a wasteful number, since it uses less digits than its factorization.

1653018444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20620 (or 20615 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1653018444 is about 40657.3295237156. The cubic root of 1653018444 is about 1182.3858755423.

The spelling of 1653018444 in words is "one billion, six hundred fifty-three million, eighteen thousand, four hundred forty-four".