14510035132000 has 192 divisors, whose sum is σ = 36164490380928. Its totient is φ = 5720494080000.

The previous prime is 14510035131983. The next prime is 14510035132007. The reversal of 14510035132000 is 23153001541.

It is a happy number.

14510035132000 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 2×14510035132000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14510035132007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1281686340 + ... + 1281697660.

It is an arithmetic number, because the mean of its divisors is an integer number (188356720734).

Almost surely, 2^{14510035132000} is an apocalyptic number.

14510035132000 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 14510035132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18082245190464).

14510035132000 is an abundant number, since it is smaller than the sum of its proper divisors (21654455248928).

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

14510035132000 is a wasteful number, since it uses less digits than its factorization.

14510035132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15930 (or 15912 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 14510035132000 its reverse (23153001541), we get a palindrome (14533188133541).

The spelling of 14510035132000 in words is "fourteen trillion, five hundred ten billion, thirty-five million, one hundred thirty-two thousand".