11633451240 has 128 divisors (see below), whose sum is σ = 35731497600. Its totient is φ = 3028945920.

The previous prime is 11633451227. The next prime is 11633451253. The reversal of 11633451240 is 4215433611.

It is an interprime number because it is at equal distance from previous prime (11633451227) and next prime (11633451253).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11633451198 and 11633451207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1337626 + ... + 1346294.

It is an arithmetic number, because the mean of its divisors is an integer number (279152325).

Almost surely, 2^11633451240 is an apocalyptic number.

11633451240 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 11633451240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865748800).

11633451240 is an abundant number, since it is smaller than the sum of its proper divisors (24098046360).

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

11633451240 is a wasteful number, since it uses less digits than its factorization.

11633451240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8947 (or 8943 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 11633451240 its reverse (4215433611), we get a palindrome (15848884851).

The spelling of 11633451240 in words is "eleven billion, six hundred thirty-three million, four hundred fifty-one thousand, two hundred forty".