9851169846672 has 1920 divisors, whose sum is σ = 38904355676160. Its totient is φ = 2266848460800.

The previous prime is 9851169846667. The next prime is 9851169846701. The reversal of 9851169846672 is 2766489611589.

9851169846672 is a `hidden beast` number, since 9 + 8 + 5 + 1 + 1 + 6 + 98 + 466 + 72 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9851169846672.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46688008647 + ... + 46688008857.

It is an arithmetic number, because the mean of its divisors is an integer number (20262685248).

Almost surely, 2^{9851169846672} is an apocalyptic number.

9851169846672 is a gapful number since it is divisible by the number (92) 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 9851169846672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19452177838080).

9851169846672 is an abundant number, since it is smaller than the sum of its proper divisors (29053185829488).

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

9851169846672 is a wasteful number, since it uses less digits than its factorization.

9851169846672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 363 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 9851169846672 in words is "nine trillion, eight hundred fifty-one billion, one hundred sixty-nine million, eight hundred forty-six thousand, six hundred seventy-two".