200049861733344 has 1152 divisors, whose sum is σ = 696703216809600. Its totient is φ = 56365118078976.

The previous prime is 200049861733331. The next prime is 200049861733367. The reversal of 200049861733344 is 443337168940002.

It is a happy number.

200049861733344 is a `hidden beast` number, since 20 + 0 + 0 + 49 + 86 + 173 + 334 + 4 = 666.

It is a super-2 number, since 2×200049861733344² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87091797604 + ... + 87091799900.

It is an arithmetic number, because the mean of its divisors is an integer number (604777097925).

Almost surely, 2^{200049861733344} is an apocalyptic number.

200049861733344 is a gapful number since it is divisible by the number (24) 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 200049861733344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348351608404800).

200049861733344 is an abundant number, since it is smaller than the sum of its proper divisors (496653355076256).

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

200049861733344 is a wasteful number, since it uses less digits than its factorization.

200049861733344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 200049861733344 in words is "two hundred trillion, forty-nine billion, eight hundred sixty-one million, seven hundred thirty-three thousand, three hundred forty-four".