201850697664 has 252 divisors, whose sum is σ = 726798650032. Its totient is φ = 52428625920.

The previous prime is 201850697639. The next prime is 201850697801. The reversal of 201850697664 is 466796058102.

201850697664 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 506 + 9 + 76 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 201850697664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281004 + ... + 694740.

Almost surely, 2^201850697664 is an apocalyptic number.

201850697664 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 201850697664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363399325016).

201850697664 is an abundant number, since it is smaller than the sum of its proper divisors (524947952368).

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

201850697664 is a wasteful number, since it uses less digits than its factorization.

201850697664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413784 (or 413760 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 201850697664 in words is "two hundred one billion, eight hundred fifty million, six hundred ninety-seven thousand, six hundred sixty-four".