1653321145641 has 48 divisors (see below), whose sum is σ = 2510612314560. Its totient is φ = 966443420800.

The previous prime is 1653321145601. The next prime is 1653321145699. The reversal of 1653321145641 is 1465411233561.

It is not a de Polignac number, because 1653321145641 - 2⁷ = 1653321145513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1653321145593 and 1653321145602.

It is not an unprimeable number, because it can be changed into a prime (1653321145601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406831 + ... + 1863371.

It is an arithmetic number, because the mean of its divisors is an integer number (52304423220).

Almost surely, 2^{1653321145641} is an apocalyptic number.

1653321145641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1653321145641 is a deficient number, since it is larger than the sum of its proper divisors (857291168919).

1653321145641 is a wasteful number, since it uses less digits than its factorization.

1653321145641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456678 (or 1456667 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 1653321145641 in words is "one trillion, six hundred fifty-three billion, three hundred twenty-one million, one hundred forty-five thousand, six hundred forty-one".