201607398117904 has 75 divisors (see below), whose sum is σ = 412356899681693. Its totient is φ = 95488529198976.

The previous prime is 201607398117893. The next prime is 201607398117943. The reversal of 201607398117904 is 409711893706102.

It is a happy number.

The square root of 201607398117904 is 14198852.

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

It can be written as a sum of positive squares in only one way, i.e., 104963713232400 + 96643684885504 = 10245180^2 + 9830752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20503137372 + ... + 20503147204.

Almost surely, 2^{201607398117904} is an apocalyptic number.

201607398117904 is the 14198852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201607398117904

201607398117904 is an abundant number, since it is smaller than the sum of its proper divisors (210749501563789).

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

201607398117904 is an frugal number, since it uses more digits than its factorization.

201607398117904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19750 (or 9854 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 58.

The spelling of 201607398117904 in words is "two hundred one trillion, six hundred seven billion, three hundred ninety-eight million, one hundred seventeen thousand, nine hundred four".