14536381080 has 512 divisors, whose sum is σ = 52809926400. Its totient is φ = 3165388800.

The previous prime is 14536381061. The next prime is 14536381081. The reversal of 14536381080 is 8018363541.

14536381080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14536381080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14536381081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31532050 + ... + 31532510.

Almost surely, 2^14536381080 is an apocalyptic number.

14536381080 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 14536381080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26404963200).

14536381080 is an abundant number, since it is smaller than the sum of its proper divisors (38273545320).

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

14536381080 is a wasteful number, since it uses less digits than its factorization.

14536381080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 14536381080 in words is "fourteen billion, five hundred thirty-six million, three hundred eighty-one thousand, eighty".