649383448896 has 784 divisors, whose sum is σ = 2433887643264. Its totient is φ = 167236005888.

The previous prime is 649383448891. The next prime is 649383448913. The reversal of 649383448896 is 698844383946.

649383448896 is a `hidden beast` number, since 6 + 4 + 93 + 8 + 3 + 448 + 8 + 96 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649383448891) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 182563150 + ... + 182566706.

Almost surely, 2^649383448896 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 649383448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216943821632).

649383448896 is an abundant number, since it is smaller than the sum of its proper divisors (1784504194368).

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

649383448896 is a wasteful number, since it uses less digits than its factorization.

649383448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3625 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 649383448896 in words is "six hundred forty-nine billion, three hundred eighty-three million, four hundred forty-eight thousand, eight hundred ninety-six".