10303732380816 has 320 divisors, whose sum is σ = 34544310927360. Its totient is φ = 2879238182400.

The previous prime is 10303732380797. The next prime is 10303732380853. The reversal of 10303732380816 is 61808323730301.

10303732380816 is a `hidden beast` number, since 1 + 0 + 30 + 373 + 238 + 0 + 8 + 16 = 666.

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, 205634166 + ... + 205684266.

It is an arithmetic number, because the mean of its divisors is an integer number (107950971648).

Almost surely, 2^{10303732380816} is an apocalyptic number.

10303732380816 is a gapful number since it is divisible by the number (16) 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 10303732380816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17272155463680).

10303732380816 is an abundant number, since it is smaller than the sum of its proper divisors (24240578546544).

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

10303732380816 is a wasteful number, since it uses less digits than its factorization.

10303732380816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51619 (or 51607 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10303732380816 in words is "ten trillion, three hundred three billion, seven hundred thirty-two million, three hundred eighty thousand, eight hundred sixteen".