201818225664000 has 2688 divisors, whose sum is σ = 826737452236800. Its totient is φ = 46920499200000.

The previous prime is 201818225663959. The next prime is 201818225664017. The reversal of 201818225664000 is 466522818102.

201818225664000 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 1 + 82 + 2 + 566 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 468255743785 + ... + 468255744215.

Almost surely, 2^{201818225664000} is an apocalyptic number.

201818225664000 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 201818225664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413368726118400).

201818225664000 is an abundant number, since it is smaller than the sum of its proper divisors (624919226572800).

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

201818225664000 is a wasteful number, since it uses less digits than its factorization.

201818225664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 201818225664000 in words is "two hundred one trillion, eight hundred eighteen billion, two hundred twenty-five million, six hundred sixty-four thousand".