648281149440 has 208 divisors, whose sum is σ = 2075790217536. Its totient is φ = 172746342400.

The previous prime is 648281149427. The next prime is 648281149463. The reversal of 648281149440 is 44941182846.

It is a super-2 number, since 2×648281149440² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105735175 + ... + 105741305.

Almost surely, 2^648281149440 is an apocalyptic number.

648281149440 is a gapful number since it is divisible by the number (60) 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 648281149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037895108768).

648281149440 is an abundant number, since it is smaller than the sum of its proper divisors (1427509068096).

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

648281149440 is a wasteful number, since it uses less digits than its factorization.

648281149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7884 (or 7862 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 648281149440 in words is "six hundred forty-eight billion, two hundred eighty-one million, one hundred forty-nine thousand, four hundred forty".