11145630456 has 96 divisors (see below), whose sum is σ = 31332537600. Its totient is φ = 3711834720.

The previous prime is 11145630427. The next prime is 11145630493. The reversal of 11145630456 is 65403654111.

11145630456 is a `hidden beast` number, since 1 + 1 + 14 + 5 + 630 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11145630456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3067761 + ... + 3071391.

It is an arithmetic number, because the mean of its divisors is an integer number (326380600).

Almost surely, 2^11145630456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11145630456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15666268800).

11145630456 is an abundant number, since it is smaller than the sum of its proper divisors (20186907144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11145630456 is a wasteful number, since it uses less digits than its factorization.

11145630456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5215 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

It can be divided in two parts, 11145 and 630456, that added together give a square (641601 = 801²).

The spelling of 11145630456 in words is "eleven billion, one hundred forty-five million, six hundred thirty thousand, four hundred fifty-six".