14006555136 has 720 divisors, whose sum is σ = 51577245720. Its totient is φ = 3633315840.

The previous prime is 14006555131. The next prime is 14006555159. The reversal of 14006555136 is 63155560041.

14006555136 is a `hidden beast` number, since 1 + 40 + 0 + 65 + 551 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8291195136 + 5715360000 = 91056^2 + 75600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14006555136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14006555131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157376980 + ... + 157377068.

Almost surely, 2^14006555136 is an apocalyptic number.

14006555136 is a gapful number since it is divisible by the number (16) 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 14006555136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25788622860).

14006555136 is an abundant number, since it is smaller than the sum of its proper divisors (37570690584).

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

14006555136 is a wasteful number, since it uses less digits than its factorization.

14006555136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 14006555136 in words is "fourteen billion, six million, five hundred fifty-five thousand, one hundred thirty-six".