8130963456 has 576 divisors, whose sum is σ = 31092647040. Its totient is φ = 1981808640.

The previous prime is 8130963443. The next prime is 8130963457. The reversal of 8130963456 is 6543690318.

8130963456 is a `hidden beast` number, since 8 + 1 + 3 + 0 + 9 + 634 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×8130963456² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8130963457) 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 47 ways as a sum of consecutive naturals, for example, 24127320 + ... + 24127656.

It is an arithmetic number, because the mean of its divisors is an integer number (53980290).

Almost surely, 2^8130963456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8130963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15546323520).

8130963456 is an abundant number, since it is smaller than the sum of its proper divisors (22961683584).

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

8130963456 is a wasteful number, since it uses less digits than its factorization.

8130963456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 8130963456 is about 90171.8551212073. The cubic root of 8130963456 is about 2010.8546035479.

The spelling of 8130963456 in words is "eight billion, one hundred thirty million, nine hundred sixty-three thousand, four hundred fifty-six".