201458057472 has 1296 divisors, whose sum is σ = 755726811840. Its totient is φ = 53258010624.

The previous prime is 201458057467. The next prime is 201458057531. The reversal of 201458057472 is 274750854102.

201458057472 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 5 + 8 + 0 + 574 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3801095398 + ... + 3801095450.

It is an arithmetic number, because the mean of its divisors is an integer number (583122540).

Almost surely, 2^201458057472 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 201458057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377863405920).

201458057472 is an abundant number, since it is smaller than the sum of its proper divisors (554268754368).

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

201458057472 is an equidigital number, since it uses as much as digits as its factorization.

201458057472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 201458057472 in words is "two hundred one billion, four hundred fifty-eight million, fifty-seven thousand, four hundred seventy-two".