654253307172 has 288 divisors, whose sum is σ = 1910065248000. Its totient is φ = 187672826880.

The previous prime is 654253307107. The next prime is 654253307173. The reversal of 654253307172 is 271703352456.

654253307172 is a `hidden beast` number, since 6 + 5 + 42 + 533 + 0 + 7 + 1 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (654253307173) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27818154 + ... + 27841662.

It is an arithmetic number, because the mean of its divisors is an integer number (6632171000).

Almost surely, 2^654253307172 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 654253307172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955032624000).

654253307172 is an abundant number, since it is smaller than the sum of its proper divisors (1255811940828).

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

654253307172 is a wasteful number, since it uses less digits than its factorization.

654253307172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23651 (or 23646 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 654253307172 in words is "six hundred fifty-four billion, two hundred fifty-three million, three hundred seven thousand, one hundred seventy-two".