2838937863168 has 352 divisors, whose sum is σ = 9654634560000. Its totient is φ = 815004426240.

The previous prime is 2838937863163. The next prime is 2838937863193. The reversal of 2838937863168 is 8613687398382.

It is a happy number.

2838937863168 is a `hidden beast` number, since 2 + 8 + 38 + 9 + 378 + 63 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a junction number, because it is equal to n+sod(n) for n = 2838937863096 and 2838937863105.

It is not an unprimeable number, because it can be changed into a prime (2838937863163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5532783 + ... + 6024081.

Almost surely, 2^{2838937863168} 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 2838937863168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827317280000).

2838937863168 is an abundant number, since it is smaller than the sum of its proper divisors (6815696696832).

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

2838937863168 is a wasteful number, since it uses less digits than its factorization.

2838937863168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491358 (or 491334 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 2838937863168 in words is "two trillion, eight hundred thirty-eight billion, nine hundred thirty-seven million, eight hundred sixty-three thousand, one hundred sixty-eight".