10478813184 has 432 divisors, whose sum is σ = 36641299968. Its totient is φ = 2930245632.

The previous prime is 10478813183. The next prime is 10478813197. The reversal of 10478813184 is 48131887401.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10478813183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222953449 + ... + 222953495.

It is an arithmetic number, because the mean of its divisors is an integer number (84817824).

Almost surely, 2^10478813184 is an apocalyptic number.

10478813184 is a gapful number since it is divisible by the number (14) 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 10478813184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320649984).

10478813184 is an abundant number, since it is smaller than the sum of its proper divisors (26162486784).

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

10478813184 is an frugal number, since it uses more digits than its factorization.

10478813184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 10478813184 in words is "ten billion, four hundred seventy-eight million, eight hundred thirteen thousand, one hundred eighty-four".