101408058648 has 128 divisors (see below), whose sum is σ = 307198080000. Its totient is φ = 30807444096.

The previous prime is 101408058611. The next prime is 101408058649. The reversal of 101408058648 is 846850804101.

101408058648 is a `hidden beast` number, since 10 + 14 + 0 + 8 + 0 + 586 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101408058649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6738 + ... + 450401.

It is an arithmetic number, because the mean of its divisors is an integer number (2399985000).

Almost surely, 2^101408058648 is an apocalyptic number.

101408058648 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 101408058648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153599040000).

101408058648 is an abundant number, since it is smaller than the sum of its proper divisors (205790021352).

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

101408058648 is a wasteful number, since it uses less digits than its factorization.

101408058648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457246 (or 457236 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 101408058648 in words is "one hundred one billion, four hundred eight million, fifty-eight thousand, six hundred forty-eight".