10304061456 has 320 divisors, whose sum is σ = 32597913600. Its totient is φ = 2771822592.

The previous prime is 10304061451. The next prime is 10304061487. The reversal of 10304061456 is 65416040301.

It is a super-3 number, since 3×10304061456³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10304061451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7907301 + ... + 7908603.

It is an arithmetic number, because the mean of its divisors is an integer number (101868480).

Almost surely, 2^10304061456 is an apocalyptic number.

10304061456 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 10304061456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16298956800).

10304061456 is an abundant number, since it is smaller than the sum of its proper divisors (22293852144).

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

10304061456 is a wasteful number, since it uses less digits than its factorization.

10304061456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10304061456 in words is "ten billion, three hundred four million, sixty-one thousand, four hundred fifty-six".