201462320596992 has 1536 divisors, whose sum is σ = 711956044800000. Its totient is φ = 49208591646720.

The previous prime is 201462320596913. The next prime is 201462320596993. The reversal of 201462320596992 is 299695023264102.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (201462320596993) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73285673634 + ... + 73285676382.

It is an arithmetic number, because the mean of its divisors is an integer number (463513050000).

Almost surely, 2^{201462320596992} 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 201462320596992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355978022400000).

201462320596992 is an abundant number, since it is smaller than the sum of its proper divisors (510493724203008).

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

201462320596992 is a wasteful number, since it uses less digits than its factorization.

201462320596992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 201462320596992 in words is "two hundred one trillion, four hundred sixty-two billion, three hundred twenty million, five hundred ninety-six thousand, nine hundred ninety-two".