100649801000448 has 1920 divisors, whose sum is σ = 384267885281280. Its totient is φ = 25647333212160.

The previous prime is 100649801000423. The next prime is 100649801000459. The reversal of 100649801000448 is 844000108946001.

100649801000448 is a `hidden beast` number, since 10 + 0 + 6 + 4 + 98 + 0 + 100 + 0 + 448 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18979782565 + ... + 18979787867.

It is an arithmetic number, because the mean of its divisors is an integer number (200139523584).

Almost surely, 2^{100649801000448} is an apocalyptic number.

100649801000448 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 100649801000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192133942640640).

100649801000448 is an abundant number, since it is smaller than the sum of its proper divisors (283618084280832).

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

100649801000448 is an equidigital number, since it uses as much as digits as its factorization.

100649801000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5430 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

Adding to 100649801000448 its reverse (844000108946001), we get a palindrome (944649909946449).

The spelling of 100649801000448 in words is "one hundred trillion, six hundred forty-nine billion, eight hundred one million, four hundred forty-eight", and thus it is an aban number.