2198857542336 has 336 divisors, whose sum is σ = 7888567814400. Its totient is φ = 570088544256.

The previous prime is 2198857542331. The next prime is 2198857542407. The reversal of 2198857542336 is 6332457588912.

2198857542336 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 8 + 57 + 542 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (2198857542331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2737035 + ... + 3448053.

It is an arithmetic number, because the mean of its divisors is an integer number (23477880400).

Almost surely, 2^{2198857542336} is an apocalyptic number.

2198857542336 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 2198857542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944283907200).

2198857542336 is an abundant number, since it is smaller than the sum of its proper divisors (5689710272064).

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

2198857542336 is a wasteful number, since it uses less digits than its factorization.

2198857542336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711116 (or 711103 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 2198857542336 in words is "two trillion, one hundred ninety-eight billion, eight hundred fifty-seven million, five hundred forty-two thousand, three hundred thirty-six".