201389254398864 has 200 divisors, whose sum is σ = 666226725496640. Its totient is φ = 57532930636032.

The previous prime is 201389254398823. The next prime is 201389254398881. The reversal of 201389254398864 is 468893452983102.

201389254398864 is a `hidden beast` number, since 2 + 0 + 1 + 38 + 9 + 25 + 439 + 88 + 64 = 666.

201389254398864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 201389254398792 and 201389254398801.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75058782 + ... + 77695554.

Almost surely, 2^{201389254398864} is an apocalyptic number.

201389254398864 is a gapful number since it is divisible by the number (24) 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 201389254398864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333113362748320).

201389254398864 is an abundant number, since it is smaller than the sum of its proper divisors (464837471097776).

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

201389254398864 is a wasteful number, since it uses less digits than its factorization.

201389254398864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645219 (or 2645204 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 201389254398864 in words is "two hundred one trillion, three hundred eighty-nine billion, two hundred fifty-four million, three hundred ninety-eight thousand, eight hundred sixty-four".