201459680547328 has 160 divisors (see below), whose sum is σ = 482518113935616. Its totient is φ = 82158043004928.

The previous prime is 201459680547197. The next prime is 201459680547331. The reversal of 201459680547328 is 823745086954102.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 201459680547328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9577900 + ... + 22240852.

It is a 1-persistent number, because it is pandigital, but 2⋅201459680547328 = 402919361094656 is not.

Almost surely, 2^{201459680547328} is an apocalyptic number.

201459680547328 is a gapful number since it is divisible by the number (28) 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 201459680547328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241259056967808).

201459680547328 is an abundant number, since it is smaller than the sum of its proper divisors (281058433388288).

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

201459680547328 is a wasteful number, since it uses less digits than its factorization.

201459680547328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12663194 (or 12663178 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 64.

The spelling of 201459680547328 in words is "two hundred one trillion, four hundred fifty-nine billion, six hundred eighty million, five hundred forty-seven thousand, three hundred twenty-eight".