200345612544 has 1440 divisors, whose sum is σ = 808167773952. Its totient is φ = 48173875200.

The previous prime is 200345612539. The next prime is 200345612549. The reversal of 200345612544 is 445216543002.

200345612544 is a `hidden beast` number, since 2 + 0 + 0 + 34 + 5 + 612 + 5 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (200345612539) and next prime (200345612549).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 200345612499 and 200345612508.

It is not an unprimeable number, because it can be changed into a prime (200345612549) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3284354274 + ... + 3284354334.

Almost surely, 2^200345612544 is an apocalyptic number.

200345612544 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 200345612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404083886976).

200345612544 is an abundant number, since it is smaller than the sum of its proper divisors (607822161408).

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

200345612544 is an equidigital number, since it uses as much as digits as its factorization.

200345612544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 200345612544 in words is "two hundred billion, three hundred forty-five million, six hundred twelve thousand, five hundred forty-four".