2185647268896 has 1920 divisors, whose sum is σ = 8759741760000. Its totient is φ = 529361215488.

The previous prime is 2185647268873. The next prime is 2185647268897. The reversal of 2185647268896 is 6988627465812.

2185647268896 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 6 + 472 + 68 + 8 + 96 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2185647268897) 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, 8125082650 + ... + 8125082918.

It is an arithmetic number, because the mean of its divisors is an integer number (4562365500).

Almost surely, 2^{2185647268896} is an apocalyptic number.

2185647268896 is a gapful number since it is divisible by the number (26) 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 2185647268896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379870880000).

2185647268896 is an abundant number, since it is smaller than the sum of its proper divisors (6574094491104).

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

2185647268896 is a wasteful number, since it uses less digits than its factorization.

2185647268896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 350 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 2185647268896 in words is "two trillion, one hundred eighty-five billion, six hundred forty-seven million, two hundred sixty-eight thousand, eight hundred ninety-six".