11342448000 has 768 divisors, whose sum is σ = 45003591360. Its totient is φ = 2720563200.

The previous prime is 11342447933. The next prime is 11342448011. The reversal of 11342448000 is 84424311.

It is a super-2 number, since 2×11342448000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136655959 + ... + 136656041.

Almost surely, 2^11342448000 is an apocalyptic number.

11342448000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11342448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22501795680).

11342448000 is an abundant number, since it is smaller than the sum of its proper divisors (33661143360).

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

11342448000 is a wasteful number, since it uses less digits than its factorization.

11342448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 11342448000 in words is "eleven billion, three hundred forty-two million, four hundred forty-eight thousand".