201358789632 has 1584 divisors, whose sum is σ = 830283637248. Its totient is φ = 45546209280.

The previous prime is 201358789603. The next prime is 201358789633. The reversal of 201358789632 is 236987853102.

201358789632 is a `hidden beast` number, since 20 + 1 + 3 + 587 + 8 + 9 + 6 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is not an unprimeable number, because it can be changed into a prime (201358789633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2758339548 + ... + 2758339620.

Almost surely, 2^201358789632 is an apocalyptic number.

201358789632 is a gapful number since it is divisible by the number (22) 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 201358789632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415141818624).

201358789632 is an abundant number, since it is smaller than the sum of its proper divisors (628924847616).

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

201358789632 is a wasteful number, since it uses less digits than its factorization.

201358789632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 201358789632 in words is "two hundred one billion, three hundred fifty-eight million, seven hundred eighty-nine thousand, six hundred thirty-two".