9457036094016 has 336 divisors, whose sum is σ = 31642083747456. Its totient is φ = 2644716552192.

The previous prime is 9457036093931. The next prime is 9457036094017. The reversal of 9457036094016 is 6104906307549.

9457036094016 is a `hidden beast` number, since 9 + 4 + 570 + 3 + 60 + 9 + 4 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (9457036094017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42301120 + ... + 42524096.

It is an arithmetic number, because the mean of its divisors is an integer number (94172868296).

Almost surely, 2^{9457036094016} is an apocalyptic number.

9457036094016 is a gapful number since it is divisible by the number (96) 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 9457036094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821041873728).

9457036094016 is an abundant number, since it is smaller than the sum of its proper divisors (22185047653440).

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

9457036094016 is a wasteful number, since it uses less digits than its factorization.

9457036094016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223226 (or 223213 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 9457036094016 in words is "nine trillion, four hundred fifty-seven billion, thirty-six million, ninety-four thousand, sixteen".