648099144 has 320 divisors, whose sum is σ = 2341785600. Its totient is φ = 162518400.

The previous prime is 648099131. The next prime is 648099167. The reversal of 648099144 is 441990846.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 648099144.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1546567 + ... + 1546985.

It is an arithmetic number, because the mean of its divisors is an integer number (7318080).

Almost surely, 2^648099144 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 648099144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170892800).

648099144 is an abundant number, since it is smaller than the sum of its proper divisors (1693686456).

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

648099144 is a wasteful number, since it uses less digits than its factorization.

648099144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 648099144 is about 25457.7914203098. The cubic root of 648099144 is about 865.3938727707.

The spelling of 648099144 in words is "six hundred forty-eight million, ninety-nine thousand, one hundred forty-four".