14534232034400 has 144 divisors (see below), whose sum is σ = 38213775911808. Its totient is φ = 5366103552000.

The previous prime is 14534232034379. The next prime is 14534232034433. The reversal of 14534232034400 is 443023243541.

It is a super-2 number, since 2×14534232034400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 175937105 + ... + 176019695.

It is an arithmetic number, because the mean of its divisors is an integer number (265373443832).

Almost surely, 2^{14534232034400} is an apocalyptic number.

14534232034400 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 14534232034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19106887955904).

14534232034400 is an abundant number, since it is smaller than the sum of its proper divisors (23679543877408).

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

14534232034400 is a wasteful number, since it uses less digits than its factorization.

14534232034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99545 (or 99532 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 14534232034400 its reverse (443023243541), we get a palindrome (14977255277941).

The spelling of 14534232034400 in words is "fourteen trillion, five hundred thirty-four billion, two hundred thirty-two million, thirty-four thousand, four hundred".