200317514364144 has 160 divisors (see below), whose sum is σ = 579578344730880. Its totient is φ = 66239495712000.

The previous prime is 200317514364133. The next prime is 200317514364167. The reversal of 200317514364144 is 441463415713002.

200317514364144 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 1 + 75 + 1 + 436 + 4 + 144 = 666.

It is a super-2 number, since 2×200317514364144² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200317514364144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160723014 + ... + 161964570.

It is an arithmetic number, because the mean of its divisors is an integer number (3622364654568).

Almost surely, 2^{200317514364144} is an apocalyptic number.

200317514364144 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 200317514364144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289789172365440).

200317514364144 is an abundant number, since it is smaller than the sum of its proper divisors (379260830366736).

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

200317514364144 is a wasteful number, since it uses less digits than its factorization.

200317514364144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244556 (or 1244544 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 200317514364144 in words is "two hundred trillion, three hundred seventeen billion, five hundred fourteen million, three hundred sixty-four thousand, one hundred forty-four".