9361201372416 has 432 divisors, whose sum is σ = 27616887567360. Its totient is φ = 3049008168960.

The previous prime is 9361201372399. The next prime is 9361201372427. The reversal of 9361201372416 is 6142731021639.

9361201372416 is a `hidden beast` number, since 9 + 3 + 61 + 201 + 372 + 4 + 16 = 666.

It is a super-2 number, since 2×9361201372416² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8533455580 + ... + 8533456676.

It is an arithmetic number, because the mean of its divisors is an integer number (63927980480).

Almost surely, 2^{9361201372416} is an apocalyptic number.

9361201372416 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 9361201372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13808443783680).

9361201372416 is an abundant number, since it is smaller than the sum of its proper divisors (18255686194944).

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

9361201372416 is a wasteful number, since it uses less digits than its factorization.

9361201372416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 9361201372416 in words is "nine trillion, three hundred sixty-one billion, two hundred one million, three hundred seventy-two thousand, four hundred sixteen".