4268153534401 has 9 divisors (see below), whose sum is σ = 4276530828451. Its totient is φ = 4259792630704.

The previous prime is 4268153534399. The next prime is 4268153534419. The reversal of 4268153534401 is 1044353518624.

The square root of 4268153534401 is 2065951.

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

4268153534401 is digitally balanced in base 3, 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., 22246020801 + 4245907513600 = 149151^2 + 2060560^2 .

It is not a de Polignac number, because 4268153534401 - 2¹ = 4268153534399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4268153534441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1237502925 + ... + 1237506373.

Almost surely, 2^{4268153534401} is an apocalyptic number.

4268153534401 is the 2065951-st square number.

4268153534401 is the 1032976-th centered octagonal number.

It is an amenable number.

4268153534401 is a deficient number, since it is larger than the sum of its proper divisors (8377294050).

4268153534401 is an frugal number, since it uses more digits than its factorization.

4268153534401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8096 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 4268153534401 in words is "four trillion, two hundred sixty-eight billion, one hundred fifty-three million, five hundred thirty-four thousand, four hundred one".