101066384448 has 448 divisors, whose sum is σ = 323442380800. Its totient is φ = 30837749760.

The previous prime is 101066384407. The next prime is 101066384459. The reversal of 101066384448 is 844483660101.

101066384448 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 638 + 4 + 4 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329206311 + ... + 329206617.

It is an arithmetic number, because the mean of its divisors is an integer number (721969600).

Almost surely, 2^101066384448 is an apocalyptic number.

101066384448 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 101066384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161721190400).

101066384448 is an abundant number, since it is smaller than the sum of its proper divisors (222375996352).

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

101066384448 is a wasteful number, since it uses less digits than its factorization.

101066384448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 101066384448 in words is "one hundred one billion, sixty-six million, three hundred eighty-four thousand, four hundred forty-eight".