201464172000 has 960 divisors, whose sum is σ = 910214008704. Its totient is φ = 42500505600.

The previous prime is 201464171989. The next prime is 201464172017. The reversal of 201464172000 is 271464102.

201464172000 is a `hidden beast` number, since 2 + 0 + 1 + 46 + 417 + 200 + 0 = 666.

201464172000 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29480584 + ... + 29487416.

Almost surely, 2^201464172000 is an apocalyptic number.

201464172000 is a gapful number since it is divisible by the number (20) 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 201464172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455107004352).

201464172000 is an abundant number, since it is smaller than the sum of its proper divisors (708749836704).

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

201464172000 is a wasteful number, since it uses less digits than its factorization.

201464172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 201464172000 in words is "two hundred one billion, four hundred sixty-four million, one hundred seventy-two thousand".