5625414144 has 320 divisors, whose sum is σ = 19362689280. Its totient is φ = 1579253760.

The previous prime is 5625414139. The next prime is 5625414167. The reversal of 5625414144 is 4414145265.

5625414144 is a `hidden beast` number, since 5 + 625 + 4 + 14 + 14 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 5625414099 and 5625414108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5902372 + ... + 5903324.

It is an arithmetic number, because the mean of its divisors is an integer number (60508404).

Almost surely, 2^5625414144 is an apocalyptic number.

5625414144 is a gapful number since it is divisible by the number (54) 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 5625414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9681344640).

5625414144 is an abundant number, since it is smaller than the sum of its proper divisors (13737275136).

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

5625414144 is an equidigital number, since it uses as much as digits as its factorization.

5625414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1026 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 5625414144 is about 75002.7609091825. The cubic root of 5625414144 is about 1778.4902975745.

The spelling of 5625414144 in words is "five billion, six hundred twenty-five million, four hundred fourteen thousand, one hundred forty-four".