201998446650 has 1152 divisors, whose sum is σ = 766030970880. Its totient is φ = 38080627200.

The previous prime is 201998446631. The next prime is 201998446693. The reversal of 201998446650 is 56644899102.

201998446650 is a `hidden beast` number, since 2 + 0 + 199 + 8 + 446 + 6 + 5 + 0 = 666.

201998446650 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1590538887 + ... + 1590539013.

It is an arithmetic number, because the mean of its divisors is an integer number (664957440).

Almost surely, 2^201998446650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201998446650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383015485440).

201998446650 is an abundant number, since it is smaller than the sum of its proper divisors (564032524230).

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

201998446650 is a wasteful number, since it uses less digits than its factorization.

201998446650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 201998446650 in words is "two hundred one billion, nine hundred ninety-eight million, four hundred forty-six thousand, six hundred fifty".