201973321634112 has 2240 divisors, whose sum is σ = 798537180672000. Its totient is φ = 49073954291712.

The previous prime is 201973321634059. The next prime is 201973321634159. The reversal of 201973321634112 is 211436123379102.

201973321634112 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 7 + 3 + 3 + 2 + 1 + 634 + 1 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 28212501189 + ... + 28212508347.

It is an arithmetic number, because the mean of its divisors is an integer number (356489812800).

Almost surely, 2^{201973321634112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201973321634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399268590336000).

201973321634112 is an abundant number, since it is smaller than the sum of its proper divisors (596563859037888).

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

201973321634112 is a wasteful number, since it uses less digits than its factorization.

201973321634112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7338 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 201973321634112 in words is "two hundred one trillion, nine hundred seventy-three billion, three hundred twenty-one million, six hundred thirty-four thousand, one hundred twelve".