5614814400 has 672 divisors, whose sum is σ = 21588618240. Its totient is φ = 1265172480.

The previous prime is 5614814389. The next prime is 5614814419. The reversal of 5614814400 is 44184165.

It is a super-2 number, since 2×5614814400² = 63052281492894720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71073561 + ... + 71073639.

It is an arithmetic number, because the mean of its divisors is an integer number (32125920).

Almost surely, 2^5614814400 is an apocalyptic number.

5614814400 is a gapful number since it is divisible by the number (50) 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 5614814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10794309120).

5614814400 is an abundant number, since it is smaller than the sum of its proper divisors (15973803840).

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

5614814400 is a wasteful number, since it uses less digits than its factorization.

5614814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 5614814400 is about 74932.0652324491. The cubic root of 5614814400 is about 1777.3725490739.

Adding to 5614814400 its reverse (44184165), we get a palindrome (5658998565).

The spelling of 5614814400 in words is "five billion, six hundred fourteen million, eight hundred fourteen thousand, four hundred".