100647561242448 has 1280 divisors, whose sum is σ = 349114417152000. Its totient is φ = 27427457433600.

The previous prime is 100647561242447. The next prime is 100647561242483. The reversal of 100647561242448 is 844242165746001.

100647561242448 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 4 + 75 + 6 + 124 + 2 + 448 = 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 = 100647561242394 and 100647561242403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100647561242441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25880060088 + ... + 25880063976.

It is an arithmetic number, because the mean of its divisors is an integer number (272745638400).

Almost surely, 2^{100647561242448} is an apocalyptic number.

100647561242448 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 100647561242448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174557208576000).

100647561242448 is an abundant number, since it is smaller than the sum of its proper divisors (248466855909552).

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

100647561242448 is a wasteful number, since it uses less digits than its factorization.

100647561242448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 100647561242448 in words is "one hundred trillion, six hundred forty-seven billion, five hundred sixty-one million, two hundred forty-two thousand, four hundred forty-eight".