101314359247248 has 960 divisors, whose sum is σ = 352280919244800. Its totient is φ = 27580638412800.

The previous prime is 101314359247243. The next prime is 101314359247249. The reversal of 101314359247248 is 842742953413101.

101314359247248 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 4 + 3 + 592 + 4 + 7 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 101314359247194 and 101314359247203.

It is not an unprimeable number, because it can be changed into a prime (101314359247243) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16285860778 + ... + 16285866998.

It is an arithmetic number, because the mean of its divisors is an integer number (366959290880).

Almost surely, 2^{101314359247248} is an apocalyptic number.

101314359247248 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 101314359247248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176140459622400).

101314359247248 is an abundant number, since it is smaller than the sum of its proper divisors (250966559997552).

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

101314359247248 is a wasteful number, since it uses less digits than its factorization.

101314359247248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6578 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 101314359247248 in words is "one hundred one trillion, three hundred fourteen billion, three hundred fifty-nine million, two hundred forty-seven thousand, two hundred forty-eight".