11853911588401 has 7 divisors (see below), whose sum is σ = 11932937665657. Its totient is φ = 11775408862650.

The previous prime is 11853911588347. The next prime is 11853911588417. The reversal of 11853911588401 is 10488511935811.

The square root of 11853911588401 is 3442951.

The cubic root of 11853911588401 is 22801.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is not a de Polignac number, because 11853911588401 - 2¹¹ = 11853911586353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11853911588461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 78502725676 + ... + 78502725826.

Almost surely, 2^{11853911588401} is an apocalyptic number.

11853911588401 is the 3442951-st square number.

11853911588401 is the 1721476-th centered octagonal number.

It is an amenable number.

11853911588401 is a deficient number, since it is larger than the sum of its proper divisors (79026077256).

11853911588401 is an frugal number, since it uses more digits than its factorization.

11853911588401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 55.

The spelling of 11853911588401 in words is "eleven trillion, eight hundred fifty-three billion, nine hundred eleven million, five hundred eighty-eight thousand, four hundred one".