101113696848 has 160 divisors (see below), whose sum is σ = 272851286400. Its totient is φ = 32237977600.

The previous prime is 101113696843. The next prime is 101113696921. The reversal of 101113696848 is 848696311101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 101113696797 and 101113696806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113696843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53526688 + ... + 53528576.

It is an arithmetic number, because the mean of its divisors is an integer number (1705320540).

Almost surely, 2^101113696848 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 101113696848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136425643200).

101113696848 is an abundant number, since it is smaller than the sum of its proper divisors (171737589552).

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

101113696848 is a wasteful number, since it uses less digits than its factorization.

101113696848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 101113696848 in words is "one hundred one billion, one hundred thirteen million, six hundred ninety-six thousand, eight hundred forty-eight".