11459488401 has 27 divisors (see below), whose sum is σ = 17591932891. Its totient is φ = 7186841664.

The previous prime is 11459488387. The next prime is 11459488409. The reversal of 11459488401 is 10488495411.

The square root of 11459488401 is 107049.

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

11459488401 is a `hidden beast` number, since 1 + 14 + 594 + 8 + 8 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8921747025 + 2537741376 = 94455^2 + 50376^2 .

It is not a de Polignac number, because 11459488401 - 2⁷ = 11459488273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11459488409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5458450 + ... + 5460548.

Almost surely, 2^11459488401 is an apocalyptic number.

11459488401 is the 107049-th square number.

11459488401 is the 53525-th centered octagonal number.

It is an amenable number.

11459488401 is a deficient number, since it is larger than the sum of its proper divisors (6132444490).

11459488401 is an frugal number, since it uses more digits than its factorization.

11459488401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

It can be divided in two parts, 1145 and 9488401, that added together give a triangular number (9489546 = T₄₃₅₆).

The spelling of 11459488401 in words is "eleven billion, four hundred fifty-nine million, four hundred eighty-eight thousand, four hundred one".