201069248550912 has 1728 divisors, whose sum is σ = 743987066135040. Its totient is φ = 50969400311808.

The previous prime is 201069248550901. The next prime is 201069248550931. The reversal of 201069248550912 is 219055842960102.

201069248550912 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 6 + 92 + 48 + 5 + 509 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1041809577888 + ... + 1041809578080.

It is an arithmetic number, because the mean of its divisors is an integer number (430548070680).

Almost surely, 2^{201069248550912} 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 201069248550912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371993533067520).

201069248550912 is an abundant number, since it is smaller than the sum of its proper divisors (542917817584128).

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

201069248550912 is a wasteful number, since it uses less digits than its factorization.

201069248550912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 201069248550912 in words is "two hundred one trillion, sixty-nine billion, two hundred forty-eight million, five hundred fifty thousand, nine hundred twelve".