5314445136 has 720 divisors, whose sum is σ = 21302386560. Its totient is φ = 1213470720.

The previous prime is 5314445131. The next prime is 5314445137. The reversal of 5314445136 is 6315444135.

5314445136 is a `hidden beast` number, since 531 + 4 + 44 + 51 + 36 = 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).

Its product of digits (86400) is a multiple of the sum of its prime divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 5314445136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5314445131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23207070 + ... + 23207298.

It is an arithmetic number, because the mean of its divisors is an integer number (29586648).

Almost surely, 2^5314445136 is an apocalyptic number.

5314445136 is a gapful number since it is divisible by the number (56) 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 5314445136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10651193280).

5314445136 is an abundant number, since it is smaller than the sum of its proper divisors (15987941424).

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

5314445136 is a wasteful number, since it uses less digits than its factorization.

5314445136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5314445136 is about 72900.2409872560. The cubic root of 5314445136 is about 1745.0959447852.

The spelling of 5314445136 in words is "five billion, three hundred fourteen million, four hundred forty-five thousand, one hundred thirty-six".