201830452704 has 120 divisors (see below), whose sum is σ = 595146819960. Its totient is φ = 67098979584.

The previous prime is 201830452669. The next prime is 201830452717. The reversal of 201830452704 is 407254038102.

It is a happy number.

201830452704 is a `hidden beast` number, since 20 + 183 + 0 + 452 + 7 + 0 + 4 = 666.

201830452704 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 (36).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 879642 + ... + 1085094.

It is an arithmetic number, because the mean of its divisors is an integer number (4959556833).

Almost surely, 2^201830452704 is an apocalyptic number.

201830452704 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 201830452704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297573409980).

201830452704 is an abundant number, since it is smaller than the sum of its proper divisors (393316367256).

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

201830452704 is a wasteful number, since it uses less digits than its factorization.

201830452704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205854 (or 205837 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 201830452704 in words is "two hundred one billion, eight hundred thirty million, four hundred fifty-two thousand, seven hundred four".