10386448369344 has 168 divisors, whose sum is σ = 29811827730048. Its totient is φ = 3457391247360.

The previous prime is 10386448369291. The next prime is 10386448369387. The reversal of 10386448369344 is 44396384468301.

10386448369344 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 64 + 483 + 6 + 93 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1531695234 + ... + 1531702014.

It is an arithmetic number, because the mean of its divisors is an integer number (177451355536).

Almost surely, 2^{10386448369344} 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 10386448369344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905913865024).

10386448369344 is an abundant number, since it is smaller than the sum of its proper divisors (19425379360704).

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

10386448369344 is a wasteful number, since it uses less digits than its factorization.

10386448369344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10063 (or 10050 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 10386448369344 in words is "ten trillion, three hundred eighty-six billion, four hundred forty-eight million, three hundred sixty-nine thousand, three hundred forty-four".