11200646448 has 120 divisors (see below), whose sum is σ = 31643688960. Its totient is φ = 3698305920.

The previous prime is 11200646447. The next prime is 11200646461. The reversal of 11200646448 is 84464600211.

It is a happy number.

11200646448 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 0 + 6 + 4 + 644 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11200646447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7782913 + ... + 7784351.

It is an arithmetic number, because the mean of its divisors is an integer number (263697408).

Almost surely, 2^11200646448 is an apocalyptic number.

11200646448 is a gapful number since it is divisible by the number (18) 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 11200646448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821844480).

11200646448 is an abundant number, since it is smaller than the sum of its proper divisors (20443042512).

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

11200646448 is a wasteful number, since it uses less digits than its factorization.

11200646448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11200646448 in words is "eleven billion, two hundred million, six hundred forty-six thousand, four hundred forty-eight".