649433388456 has 96 divisors (see below), whose sum is σ = 1778331709440. Its totient is φ = 214094772864.

The previous prime is 649433388419. The next prime is 649433388469. The reversal of 649433388456 is 654883334946.

649433388456 is a `hidden beast` number, since 6 + 49 + 433 + 38 + 84 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 649433388393 and 649433388402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2786625 + ... + 3010671.

It is an arithmetic number, because the mean of its divisors is an integer number (18524288640).

Almost surely, 2^649433388456 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 649433388456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889165854720).

649433388456 is an abundant number, since it is smaller than the sum of its proper divisors (1128898320984).

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

649433388456 is a wasteful number, since it uses less digits than its factorization.

649433388456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224503 (or 224496 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 63.

The spelling of 649433388456 in words is "six hundred forty-nine billion, four hundred thirty-three million, three hundred eighty-eight thousand, four hundred fifty-six".