153296663977809 has 81 divisors (see below), whose sum is σ = 249496721233851. Its totient is φ = 90631137960000.

The previous prime is 153296663977801. The next prime is 153296663977829. The reversal of 153296663977809 is 908779366692351.

The square root of 153296663977809 is 12381303.

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

153296663977809 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7386692315409 + 145909971662400 = 2717847^2 + 12079320^2 .

It is not a de Polignac number, because 153296663977809 - 2³ = 153296663977801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (153296663977801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16751898384 + ... + 16751907534.

Almost surely, 2^{153296663977809} is an apocalyptic number.

153296663977809 is the 12381303-rd square number.

153296663977809 is the 6190652-nd centered octagonal number.

It is an amenable number.

153296663977809 is a deficient number, since it is larger than the sum of its proper divisors (96200057256042).

153296663977809 is an frugal number, since it uses more digits than its factorization.

153296663977809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18412 (or 9206 counting only the distinct ones).

The product of its (nonzero) digits is 5555329920, while the sum is 81.

The spelling of 153296663977809 in words is "one hundred fifty-three trillion, two hundred ninety-six billion, six hundred sixty-three million, nine hundred seventy-seven thousand, eight hundred nine".