648424341504 has 315 divisors, whose sum is σ = 1952704769113. Its totient is φ = 215213801472.

The previous prime is 648424341451. The next prime is 648424341527. The reversal of 648424341504 is 405143424846.

It is a happy number.

The square root of 648424341504 is 805248.

It is a perfect power (a square), and thus also a powerful number.

648424341504 is a `hidden beast` number, since 6 + 4 + 84 + 24 + 3 + 41 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131681894400 + 516742447104 = 362880^2 + 718848^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 648424341504.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2782936972 + ... + 2782937204.

Almost surely, 2^648424341504 is an apocalyptic number.

648424341504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

648424341504 is the 805248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648424341504

648424341504 is an abundant number, since it is smaller than the sum of its proper divisors (1304280427609).

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

648424341504 is an frugal number, since it uses more digits than its factorization.

648424341504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 648424341504 in words is "six hundred forty-eight billion, four hundred twenty-four million, three hundred forty-one thousand, five hundred four".