156656848401 has 9 divisors (see below), whose sum is σ = 226283829499. Its totient is φ = 104437107336.

The previous prime is 156656848373. The next prime is 156656848441. The reversal of 156656848401 is 104848656651.

It is a happy number.

The square root of 156656848401 is 395799.

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

156656848401 is a `hidden beast` number, since 15 + 66 + 568 + 4 + 8 + 4 + 0 + 1 = 666.

156656848401 is digitally balanced in base 2, because in such base 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., 83905812225 + 72751036176 = 289665^2 + 269724^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 156656848401 - 2⁷ = 156656848273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (156656848441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1121431 + ... + 1253363.

Almost surely, 2^156656848401 is an apocalyptic number.

156656848401 is the 395799-th square number.

156656848401 is the 197900-th centered octagonal number.

It is an amenable number.

156656848401 is a deficient number, since it is larger than the sum of its proper divisors (69626981098).

156656848401 is an frugal number, since it uses more digits than its factorization.

156656848401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263872 (or 131936 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 156656848401 in words is "one hundred fifty-six billion, six hundred fifty-six million, eight hundred forty-eight thousand, four hundred one".