11400313248 has 120 divisors (see below), whose sum is σ = 33597762660. Its totient is φ = 3792199680.

The previous prime is 11400313247. The next prime is 11400313307. The reversal of 11400313248 is 84231300411.

11400313248 is a `hidden beast` number, since 1 + 1 + 400 + 3 + 13 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11179255824 + 221057424 = 105732^2 + 14868^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11400313247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1315008 + ... + 1323648.

Almost surely, 2^11400313248 is an apocalyptic number.

11400313248 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 11400313248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16798881330).

11400313248 is an abundant number, since it is smaller than the sum of its proper divisors (22197449412).

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

11400313248 is an equidigital number, since it uses as much as digits as its factorization.

11400313248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9172 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11400313248 its reverse (84231300411), we get a palindrome (95631613659).

The spelling of 11400313248 in words is "eleven billion, four hundred million, three hundred thirteen thousand, two hundred forty-eight".