201458245632000 has 1088 divisors, whose sum is σ = 781896186240000. Its totient is φ = 46045672243200.

The previous prime is 201458245631947. The next prime is 201458245632079. The reversal of 201458245632000 is 236542854102.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 8429556051 + ... + 8429579949.

Almost surely, 2^{201458245632000} is an apocalyptic number.

201458245632000 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 201458245632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390948093120000).

201458245632000 is an abundant number, since it is smaller than the sum of its proper divisors (580437940608000).

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

201458245632000 is an frugal number, since it uses more digits than its factorization.

201458245632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23970 (or 23916 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 201458245632000 in words is "two hundred one trillion, four hundred fifty-eight billion, two hundred forty-five million, six hundred thirty-two thousand".