101648641248 has 576 divisors, whose sum is σ = 369345360384. Its totient is φ = 25754112000.

The previous prime is 101648641231. The next prime is 101648641261. The reversal of 101648641248 is 842146846101.

101648641248 is a `hidden beast` number, since 101 + 6 + 486 + 41 + 24 + 8 = 666.

101648641248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220495738 + ... + 220496198.

It is an arithmetic number, because the mean of its divisors is an integer number (641224584).

Almost surely, 2^101648641248 is an apocalyptic number.

101648641248 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 101648641248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184672680192).

101648641248 is an abundant number, since it is smaller than the sum of its proper divisors (267696719136).

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

101648641248 is a wasteful number, since it uses less digits than its factorization.

101648641248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 101648641248 in words is "one hundred one billion, six hundred forty-eight million, six hundred forty-one thousand, two hundred forty-eight".