11456512153401 has 16 divisors (see below), whose sum is σ = 17459517670400. Its totient is φ = 6545837620368.

The previous prime is 11456512153399. The next prime is 11456512153417. The reversal of 11456512153401 is 10435121565411.

It is not a de Polignac number, because 11456512153401 - 2¹ = 11456512153399 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11456512153401.

It is not an unprimeable number, because it can be changed into a prime (11456512153481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30674671 + ... + 31045908.

It is an arithmetic number, because the mean of its divisors is an integer number (1091219854400).

Almost surely, 2^{11456512153401} is an apocalyptic number.

It is an amenable number.

11456512153401 is a deficient number, since it is larger than the sum of its proper divisors (6003005516999).

11456512153401 is an equidigital number, since it uses as much as digits as its factorization.

11456512153401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61729428.

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 11456512153401 in words is "eleven trillion, four hundred fifty-six billion, five hundred twelve million, one hundred fifty-three thousand, four hundred one".