9468513597816 has 1024 divisors, whose sum is σ = 33791385600000. Its totient is φ = 2440437382656.

The previous prime is 9468513597793. The next prime is 9468513597833. The reversal of 9468513597816 is 6187953158649.

9468513597816 is a `hidden beast` number, since 9 + 4 + 6 + 8 + 5 + 13 + 597 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8141455651 + ... + 8141456813.

It is an arithmetic number, because the mean of its divisors is an integer number (32999400000).

Almost surely, 2^{9468513597816} 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 9468513597816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895692800000).

9468513597816 is an abundant number, since it is smaller than the sum of its proper divisors (24322872002184).

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

9468513597816 is a wasteful number, since it uses less digits than its factorization.

9468513597816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1374 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 9468513597816 in words is "nine trillion, four hundred sixty-eight billion, five hundred thirteen million, five hundred ninety-seven thousand, eight hundred sixteen".