2168579348496 has 1920 divisors, whose sum is σ = 8150478336000. Its totient is φ = 547211427840.

The previous prime is 2168579348491. The next prime is 2168579348501. The reversal of 2168579348496 is 6948439758612.

2168579348496 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 5 + 7 + 93 + 48 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (2168579348491) and next prime (2168579348501).

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 (2168579348491) 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, 21054168381 + ... + 21054168483.

It is an arithmetic number, because the mean of its divisors is an integer number (4245040800).

Almost surely, 2^{2168579348496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168579348496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075239168000).

2168579348496 is an abundant number, since it is smaller than the sum of its proper divisors (5981898987504).

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

2168579348496 is a wasteful number, since it uses less digits than its factorization.

2168579348496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 2168579348496 in words is "two trillion, one hundred sixty-eight billion, five hundred seventy-nine million, three hundred forty-eight thousand, four hundred ninety-six".