2938854365568 has 1152 divisors, whose sum is σ = 10087113254400. Its totient is φ = 841446144000.

The previous prime is 2938854365567. The next prime is 2938854365591. The reversal of 2938854365568 is 8655634588392.

2938854365568 is a `hidden beast` number, since 2 + 9 + 3 + 8 + 8 + 54 + 3 + 6 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 2938854365496 and 2938854365505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938854365567) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28532566605 + ... + 28532566707.

It is an arithmetic number, because the mean of its divisors is an integer number (8756174700).

Almost surely, 2^{2938854365568} 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 2938854365568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043556627200).

2938854365568 is an abundant number, since it is smaller than the sum of its proper divisors (7148258888832).

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

2938854365568 is a wasteful number, since it uses less digits than its factorization.

2938854365568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 221 counting only the distinct ones).

The product of its digits is 1492992000, while the sum is 72.

The spelling of 2938854365568 in words is "two trillion, nine hundred thirty-eight billion, eight hundred fifty-four million, three hundred sixty-five thousand, five hundred sixty-eight".