10304455616 has 224 divisors, whose sum is σ = 26832153600. Its totient is φ = 3810115584.

The previous prime is 10304455549. The next prime is 10304455643. The reversal of 10304455616 is 61655440301.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10304455616² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19702331 + ... + 19702853.

It is an arithmetic number, because the mean of its divisors is an integer number (119786400).

Almost surely, 2^10304455616 is an apocalyptic number.

10304455616 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 10304455616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416076800).

10304455616 is an abundant number, since it is smaller than the sum of its proper divisors (16527697984).

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

10304455616 is a wasteful number, since it uses less digits than its factorization.

10304455616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 10304455616 its reverse (61655440301), we get a palindrome (71959895917).

The spelling of 10304455616 in words is "ten billion, three hundred four million, four hundred fifty-five thousand, six hundred sixteen".