11285911021401 has 9 divisors (see below), whose sum is σ = 16301886032991. Its totient is φ = 7523933962032.

The previous prime is 11285911021391. The next prime is 11285911021409. The reversal of 11285911021401 is 10412011958211.

The square root of 11285911021401 is 3359451.

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

11285911021401 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 591 + 1 + 0 + 21 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1253336225625 + 10032574795776 = 1119525^2 + 3167424^2 .

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

It is not a de Polignac number, because 11285911021401 - 2⁵ = 11285911021369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11285911021409) 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, 9518445 + ... + 10638261.

Almost surely, 2^{11285911021401} is an apocalyptic number.

11285911021401 is the 3359451-st square number.

11285911021401 is the 1679726-th centered octagonal number.

It is an amenable number.

11285911021401 is a deficient number, since it is larger than the sum of its proper divisors (5015975011590).

11285911021401 is an frugal number, since it uses more digits than its factorization.

11285911021401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239640 (or 1119820 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

Multiplying 11285911021401 by its sum of digits (36), we get a square (406292796770436 = 20156706²).

Adding to 11285911021401 its reverse (10412011958211), we get a palindrome (21697922979612).

The spelling of 11285911021401 in words is "eleven trillion, two hundred eighty-five billion, nine hundred eleven million, twenty-one thousand, four hundred one".