654627385152 has 336 divisors, whose sum is σ = 2115008663040. Its totient is φ = 192077512704.

The previous prime is 654627385151. The next prime is 654627385183. The reversal of 654627385152 is 251583726456.

654627385152 is a `hidden beast` number, since 6 + 5 + 4 + 627 + 3 + 8 + 5 + 1 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654627385151) 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, 58033849 + ... + 58045127.

It is an arithmetic number, because the mean of its divisors is an integer number (6294668640).

Almost surely, 2^654627385152 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 654627385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057504331520).

654627385152 is an abundant number, since it is smaller than the sum of its proper divisors (1460381277888).

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

654627385152 is a wasteful number, since it uses less digits than its factorization.

654627385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11670 (or 11657 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 654627385152 in words is "six hundred fifty-four billion, six hundred twenty-seven million, three hundred eighty-five thousand, one hundred fifty-two".