654253900128 has 72 divisors (see below), whose sum is σ = 1888303756248. Its totient is φ = 214829632512.

The previous prime is 654253900123. The next prime is 654253900169. The reversal of 654253900128 is 821009352456.

654253900128 is a `hidden beast` number, since 6 + 542 + 5 + 3 + 90 + 0 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654253900121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16933801 + ... + 16972392.

It is an arithmetic number, because the mean of its divisors is an integer number (26226441059).

Almost surely, 2^654253900128 is an apocalyptic number.

It is an amenable number.

654253900128 is an abundant number, since it is smaller than the sum of its proper divisors (1234049856120).

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

654253900128 is a wasteful number, since it uses less digits than its factorization.

654253900128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33906276 (or 33906265 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 654253900128 in words is "six hundred fifty-four billion, two hundred fifty-three million, nine hundred thousand, one hundred twenty-eight".