1653774144 has 112 divisors (see below), whose sum is σ = 5054291136. Its totient is φ = 471654400.

The previous prime is 1653774137. The next prime is 1653774149. The reversal of 1653774144 is 4414773561.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1653774096 and 1653774105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1653774149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12874 + ... + 58934.

Almost surely, 2^1653774144 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 1653774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527145568).

1653774144 is an abundant number, since it is smaller than the sum of its proper divisors (3400516992).

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

1653774144 is a wasteful number, since it uses less digits than its factorization.

1653774144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46104 (or 46094 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 1653774144 is about 40666.6219890465. The cubic root of 1653774144 is about 1182.5660293857.

The spelling of 1653774144 in words is "one billion, six hundred fifty-three million, seven hundred seventy-four thousand, one hundred forty-four".