13514322400 has 36 divisors (see below), whose sum is σ = 32991841512. Its totient is φ = 5405728640.

The previous prime is 13514322383. The next prime is 13514322401. The reversal of 13514322400 is 422341531.

It is a super-2 number, since 2×13514322400² (a number of 21 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 (13514322401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8445652 + ... + 8447251.

It is an arithmetic number, because the mean of its divisors is an integer number (916440042).

Almost surely, 2^13514322400 is an apocalyptic number.

13514322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13514322400 is an abundant number, since it is smaller than the sum of its proper divisors (19477519112).

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

13514322400 is a wasteful number, since it uses less digits than its factorization.

13514322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16892923 (or 16892910 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 13514322400 its reverse (422341531), we get a palindrome (13936663931).

The spelling of 13514322400 in words is "thirteen billion, five hundred fourteen million, three hundred twenty-two thousand, four hundred".