201604592016 has 405 divisors, whose sum is σ = 628157374689. Its totient is φ = 60346137600.

The previous prime is 201604592003. The next prime is 201604592029. The reversal of 201604592016 is 610295406102.

The square root of 201604592016 is 449004.

It is a perfect power (a square), and thus also a powerful number.

201604592016 is a `hidden beast` number, since 2 + 0 + 1 + 60 + 4 + 592 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (201604592003) and next prime (201604592029).

It can be written as a sum of positive squares in only one way, i.e., 156958592400 + 44645999616 = 396180^2 + 211296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2839501261 + ... + 2839501331.

Almost surely, 2^201604592016 is an apocalyptic number.

201604592016 is the 449004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201604592016

201604592016 is an abundant number, since it is smaller than the sum of its proper divisors (426552782673).

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

201604592016 is a wasteful number, since it uses less digits than its factorization.

201604592016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 201604592016 by its sum of digits (36), we get a square (7257765312576 = 2694024²).

201604592016 divided by its sum of digits (36) gives a square (5600127556 = 74834²).

Adding to 201604592016 its reverse (610295406102), we get a palindrome (811899998118).

The spelling of 201604592016 in words is "two hundred one billion, six hundred four million, five hundred ninety-two thousand, sixteen".