101824650048 has 112 divisors (see below), whose sum is σ = 295048131264. Its totient is φ = 30735728640.

The previous prime is 101824649963. The next prime is 101824650101. The reversal of 101824650048 is 840056428101.

It is a junction number, because it is equal to n+sod(n) for n = 101824649988 and 101824650015.

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 15 ways as a sum of consecutive naturals, for example, 448986 + ... + 636582.

Almost surely, 2^101824650048 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 101824650048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147524065632).

101824650048 is an abundant number, since it is smaller than the sum of its proper divisors (193223481216).

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

101824650048 is a wasteful number, since it uses less digits than its factorization.

101824650048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187880 (or 187870 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 101824650048 in words is "one hundred one billion, eight hundred twenty-four million, six hundred fifty thousand, forty-eight".