201421479168 has 1944 divisors, whose sum is σ = 838169736768. Its totient is φ = 47823519744.

The previous prime is 201421479131. The next prime is 201421479169. The reversal of 201421479168 is 861974124102.

201421479168 is a `hidden beast` number, since 2 + 0 + 14 + 2 + 1 + 479 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×201421479168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201421479169) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8757455605 + ... + 8757455627.

It is an arithmetic number, because the mean of its divisors is an integer number (431157272).

Almost surely, 2^201421479168 is an apocalyptic number.

201421479168 is a gapful number since it is divisible by the number (28) 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 201421479168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419084868384).

201421479168 is an abundant number, since it is smaller than the sum of its proper divisors (636748257600).

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

201421479168 is a wasteful number, since it uses less digits than its factorization.

201421479168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 201421479168 in words is "two hundred one billion, four hundred twenty-one million, four hundred seventy-nine thousand, one hundred sixty-eight".