201604617648 has 360 divisors, whose sum is σ = 669172795200. Its totient is φ = 56482272000.

The previous prime is 201604617629. The next prime is 201604617659. The reversal of 201604617648 is 846716406102.

201604617648 is a `hidden beast` number, since 20 + 1 + 6 + 0 + 4 + 617 + 6 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118659903 + ... + 118661601.

It is an arithmetic number, because the mean of its divisors is an integer number (1858813320).

Almost surely, 2^201604617648 is an apocalyptic number.

201604617648 is a gapful number since it is divisible by the number (28) 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 201604617648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334586397600).

201604617648 is an abundant number, since it is smaller than the sum of its proper divisors (467568177552).

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

201604617648 is a wasteful number, since it uses less digits than its factorization.

201604617648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 201604617648 in words is "two hundred one billion, six hundred four million, six hundred seventeen thousand, six hundred forty-eight".