201000574317312 has 1728 divisors, whose sum is σ = 840706442150400. Its totient is φ = 46550455418880.

The previous prime is 201000574317307. The next prime is 201000574317349. The reversal of 201000574317312 is 213713475000102.

201000574317312 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 0 + 574 + 3 + 1 + 73 + 12 = 666.

201000574317312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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, 1203274948 + ... + 1203441980.

It is an arithmetic number, because the mean of its divisors is an integer number (486519931800).

Almost surely, 2^{201000574317312} is an apocalyptic number.

201000574317312 is a gapful number since it is divisible by the number (22) 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 201000574317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420353221075200).

201000574317312 is an abundant number, since it is smaller than the sum of its proper divisors (639705867833088).

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

201000574317312 is a wasteful number, since it uses less digits than its factorization.

201000574317312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167119 (or 167092 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 201000574317312 in words is "two hundred one trillion, five hundred seventy-four million, three hundred seventeen thousand, three hundred twelve".