201915650664 has 256 divisors, whose sum is σ = 698072256000. Its totient is φ = 52653680640.

The previous prime is 201915650663. The next prime is 201915650683. The reversal of 201915650664 is 466056519102.

201915650664 is a `hidden beast` number, since 2 + 0 + 1 + 91 + 56 + 506 + 6 + 4 = 666.

201915650664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201915650663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1691674 + ... + 1807094.

It is an arithmetic number, because the mean of its divisors is an integer number (2726844750).

Almost surely, 2^201915650664 is an apocalyptic number.

201915650664 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 201915650664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349036128000).

201915650664 is an abundant number, since it is smaller than the sum of its proper divisors (496156605336).

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

201915650664 is a wasteful number, since it uses less digits than its factorization.

201915650664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115545 (or 115535 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 201915650664 in words is "two hundred one billion, nine hundred fifteen million, six hundred fifty thousand, six hundred sixty-four".