11271633408 has 400 divisors, whose sum is σ = 39428351424. Its totient is φ = 3138600960.

The previous prime is 11271633379. The next prime is 11271633419. The reversal of 11271633408 is 80433617211.

It is a happy number.

11271633408 is a `hidden beast` number, since 1 + 12 + 7 + 1 + 633 + 4 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11901991 + ... + 11902937.

Almost surely, 2^11271633408 is an apocalyptic number.

11271633408 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 11271633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19714175712).

11271633408 is an abundant number, since it is smaller than the sum of its proper divisors (28156718016).

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

11271633408 is an frugal number, since it uses more digits than its factorization.

11271633408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11271633408 in words is "eleven billion, two hundred seventy-one million, six hundred thirty-three thousand, four hundred eight".