108649755648 has 1056 divisors, whose sum is σ = 405338752000. Its totient is φ = 28970016768.

The previous prime is 108649755647. The next prime is 108649755673. The reversal of 108649755648 is 846557946801.

108649755648 is a `hidden beast` number, since 1 + 0 + 8 + 64 + 9 + 7 + 5 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108649755647) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1621638111 + ... + 1621638177.

Almost surely, 2^108649755648 is an apocalyptic number.

108649755648 is a gapful number since it is divisible by the number (18) 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 108649755648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202669376000).

108649755648 is an abundant number, since it is smaller than the sum of its proper divisors (296688996352).

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

108649755648 is an frugal number, since it uses more digits than its factorization.

108649755648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 108649755648 in words is "one hundred eight billion, six hundred forty-nine million, seven hundred fifty-five thousand, six hundred forty-eight".