8505544939164 has 1152 divisors, whose sum is σ = 30698969333760. Its totient is φ = 1992723296256.

The previous prime is 8505544939163. The next prime is 8505544939207. The reversal of 8505544939164 is 4619394455058.

8505544939164 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 54 + 493 + 91 + 6 + 4 = 666.

It is a super-2 number, since 2×8505544939164² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8505544939163) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13227907827 + ... + 13227908469.

It is an arithmetic number, because the mean of its divisors is an integer number (26648410880).

Almost surely, 2^{8505544939164} is an apocalyptic number.

8505544939164 is a gapful number since it is divisible by the number (84) 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 8505544939164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15349484666880).

8505544939164 is an abundant number, since it is smaller than the sum of its proper divisors (22193424394596).

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

8505544939164 is a wasteful number, since it uses less digits than its factorization.

8505544939164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 8505544939164 in words is "eight trillion, five hundred five billion, five hundred forty-four million, nine hundred thirty-nine thousand, one hundred sixty-four".