648494317126656 has 5280 divisors, whose sum is σ = 2743546072467200. Its totient is φ = 151416620974080.

The previous prime is 648494317126631. The next prime is 648494317126657. The reversal of 648494317126656 is 656621713494846.

648494317126656 is a `hidden beast` number, since 6 + 4 + 8 + 4 + 9 + 431 + 7 + 126 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648494317126657) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1924315480920 + ... + 1924315481256.

Almost surely, 2^{648494317126656} is an apocalyptic number.

648494317126656 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 648494317126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371773036233600).

648494317126656 is an abundant number, since it is smaller than the sum of its proper divisors (2095051755340544).

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

648494317126656 is a wasteful number, since it uses less digits than its factorization.

648494317126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 416 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 648494317126656 in words is "six hundred forty-eight trillion, four hundred ninety-four billion, three hundred seventeen million, one hundred twenty-six thousand, six hundred fifty-six".