648218101356 has 192 divisors, whose sum is σ = 1974163968000. Its totient is φ = 183851869824.

The previous prime is 648218101327. The next prime is 648218101361. The reversal of 648218101356 is 653101812846.

648218101356 is a `hidden beast` number, since 6 + 482 + 18 + 101 + 3 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5011165 + ... + 5138891.

It is an arithmetic number, because the mean of its divisors is an integer number (10282104000).

Almost surely, 2^648218101356 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 648218101356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987081984000).

648218101356 is an abundant number, since it is smaller than the sum of its proper divisors (1325945866644).

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

648218101356 is a wasteful number, since it uses less digits than its factorization.

648218101356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127898 (or 127876 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 648218101356 in words is "six hundred forty-eight billion, two hundred eighteen million, one hundred one thousand, three hundred fifty-six".