10483881408 has 1344 divisors, whose sum is σ = 45403008000. Its totient is φ = 2299207680.

The previous prime is 10483881341. The next prime is 10483881409. The reversal of 10483881408 is 80418838401.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10483881409) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 361513138 + ... + 361513166.

It is an arithmetic number, because the mean of its divisors is an integer number (33782000).

Almost surely, 2^10483881408 is an apocalyptic number.

10483881408 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 10483881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22701504000).

10483881408 is an abundant number, since it is smaller than the sum of its proper divisors (34919126592).

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

10483881408 is a wasteful number, since it uses less digits than its factorization.

10483881408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 10483881408 in words is "ten billion, four hundred eighty-three million, eight hundred eighty-one thousand, four hundred eight".