649747381248 has 1056 divisors, whose sum is σ = 2424879475200. Its totient is φ = 169556115456.

The previous prime is 649747381211. The next prime is 649747381253. The reversal of 649747381248 is 842183747946.

649747381248 is a `hidden beast` number, since 6 + 4 + 9 + 7 + 4 + 7 + 381 + 248 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 959744686 + ... + 959745362.

Almost surely, 2^649747381248 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 649747381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212439737600).

649747381248 is an abundant number, since it is smaller than the sum of its proper divisors (1775132093952).

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

649747381248 is a wasteful number, since it uses less digits than its factorization.

649747381248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 737 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 649747381248 in words is "six hundred forty-nine billion, seven hundred forty-seven million, three hundred eighty-one thousand, two hundred forty-eight".