201898691812656 has 120 divisors (see below), whose sum is σ = 567112782830880. Its totient is φ = 67052227673088.

The previous prime is 201898691812591. The next prime is 201898691812703. The reversal of 201898691812656 is 656218196898102.

201898691812656 is a `hidden beast` number, since 2 + 0 + 189 + 8 + 6 + 9 + 181 + 265 + 6 = 666.

201898691812656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642159300 + ... + 642473628.

It is an arithmetic number, because the mean of its divisors is an integer number (4725939856924).

Almost surely, 2^{201898691812656} 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 201898691812656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283556391415440).

201898691812656 is an abundant number, since it is smaller than the sum of its proper divisors (365214091018224).

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

201898691812656 is a wasteful number, since it uses less digits than its factorization.

201898691812656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330723 (or 330714 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 201898691812656 in words is "two hundred one trillion, eight hundred ninety-eight billion, six hundred ninety-one million, eight hundred twelve thousand, six hundred fifty-six".