11214632544 has 96 divisors (see below), whose sum is σ = 30168762624. Its totient is φ = 3645734400.

The previous prime is 11214632497. The next prime is 11214632557. The reversal of 11214632544 is 44523641211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3395694 + ... + 3398994.

It is an arithmetic number, because the mean of its divisors is an integer number (314257944).

Almost surely, 2^11214632544 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 11214632544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15084381312).

11214632544 is an abundant number, since it is smaller than the sum of its proper divisors (18954130080).

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

11214632544 is a wasteful number, since it uses less digits than its factorization.

11214632544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4172 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The spelling of 11214632544 in words is "eleven billion, two hundred fourteen million, six hundred thirty-two thousand, five hundred forty-four".