101444769448 has 128 divisors (see below), whose sum is σ = 225182592000. Its totient is φ = 42352657920.

The previous prime is 101444769407. The next prime is 101444769449. The reversal of 101444769448 is 844967444101.

It is a junction number, because it is equal to n+sod(n) for n = 101444769395 and 101444769404.

It is not an unprimeable number, because it can be changed into a prime (101444769449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7194261 + ... + 7208347.

It is an arithmetic number, because the mean of its divisors is an integer number (1759239000).

Almost surely, 2^101444769448 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 101444769448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112591296000).

101444769448 is an abundant number, since it is smaller than the sum of its proper divisors (123737822552).

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

101444769448 is a wasteful number, since it uses less digits than its factorization.

101444769448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14255 (or 14251 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 101444769448 in words is "one hundred one billion, four hundred forty-four million, seven hundred sixty-nine thousand, four hundred forty-eight".