9445167852120 has 1280 divisors, whose sum is σ = 44868026649600. Its totient is φ = 1716298813440.

The previous prime is 9445167852097. The next prime is 9445167852121. The reversal of 9445167852120 is 212587615449.

9445167852120 is a `hidden beast` number, since 9 + 4 + 4 + 51 + 67 + 8 + 521 + 2 + 0 = 666.

It is a super-2 number, since 2×9445167852120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9445167852121) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 61544922 + ... + 61698198.

It is an arithmetic number, because the mean of its divisors is an integer number (35053145820).

Almost surely, 2^{9445167852120} is an apocalyptic number.

9445167852120 is a gapful number since it is divisible by the number (90) 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 9445167852120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22434013324800).

9445167852120 is an abundant number, since it is smaller than the sum of its proper divisors (35422858797480).

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

9445167852120 is a wasteful number, since it uses less digits than its factorization.

9445167852120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153350 (or 153337 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 9445167852120 in words is "nine trillion, four hundred forty-five billion, one hundred sixty-seven million, eight hundred fifty-two thousand, one hundred twenty".