648663434496 has 288 divisors, whose sum is σ = 2391538867200. Its totient is φ = 168483870720.

The previous prime is 648663434479. The next prime is 648663434521. The reversal of 648663434496 is 694434366846.

648663434496 is a `hidden beast` number, since 6 + 4 + 86 + 6 + 34 + 34 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77166 + ... + 1141613.

It is an arithmetic number, because the mean of its divisors is an integer number (8303954400).

Almost surely, 2^648663434496 is an apocalyptic number.

648663434496 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648663434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195769433600).

648663434496 is an abundant number, since it is smaller than the sum of its proper divisors (1742875432704).

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

648663434496 is a wasteful number, since it uses less digits than its factorization.

648663434496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218822 (or 1218802 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 63.

The spelling of 648663434496 in words is "six hundred forty-eight billion, six hundred sixty-three million, four hundred thirty-four thousand, four hundred ninety-six".