201453242452000 has 768 divisors, whose sum is σ = 645987061923840. Its totient is φ = 59909068800000.

The previous prime is 201453242451997. The next prime is 201453242452001. The reversal of 201453242452000 is 254242354102.

It is not an unprimeable number, because it can be changed into a prime (201453242452001) 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, 677759416 + ... + 678056584.

It is an arithmetic number, because the mean of its divisors is an integer number (841128986880).

Almost surely, 2^{201453242452000} is an apocalyptic number.

201453242452000 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 201453242452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322993530961920).

201453242452000 is an abundant number, since it is smaller than the sum of its proper divisors (444533819471840).

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

201453242452000 is a wasteful number, since it uses less digits than its factorization.

201453242452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297314 (or 297296 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 201453242452000 in words is "two hundred one trillion, four hundred fifty-three billion, two hundred forty-two million, four hundred fifty-two thousand".