11336149440 has 1344 divisors, whose sum is σ = 53680693248. Its totient is φ = 2123366400.

The previous prime is 11336149393. The next prime is 11336149453. The reversal of 11336149440 is 4494163311.

11336149440 is a `hidden beast` number, since 1 + 1 + 33 + 614 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 11336149395 and 11336149404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116867472 + ... + 116867568.

It is an arithmetic number, because the mean of its divisors is an integer number (39940992).

Almost surely, 2^11336149440 is an apocalyptic number.

11336149440 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 11336149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26840346624).

11336149440 is an abundant number, since it is smaller than the sum of its proper divisors (42344543808).

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

11336149440 is a wasteful number, since it uses less digits than its factorization.

11336149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11336149440 in words is "eleven billion, three hundred thirty-six million, one hundred forty-nine thousand, four hundred forty".