11254314400 has 288 divisors, whose sum is σ = 32667909120. Its totient is φ = 3704832000.

The previous prime is 11254314371. The next prime is 11254314523. The reversal of 11254314400 is 441345211.

It is a super-2 number, since 2×11254314400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41837466 + ... + 41837734.

It is an arithmetic number, because the mean of its divisors is an integer number (113430240).

Almost surely, 2^11254314400 is an apocalyptic number.

11254314400 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 11254314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16333954560).

11254314400 is an abundant number, since it is smaller than the sum of its proper divisors (21413594720).

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

11254314400 is a wasteful number, since it uses less digits than its factorization.

11254314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 11254314400 its reverse (441345211), we get a palindrome (11695659611).

The spelling of 11254314400 in words is "eleven billion, two hundred fifty-four million, three hundred fourteen thousand, four hundred".