13454224532320 has 192 divisors, whose sum is σ = 37354434647040. Its totient is φ = 4514663577600.

The previous prime is 13454224532303. The next prime is 13454224532341. The reversal of 13454224532320 is 2323542245431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72917941 + ... + 73102219.

It is an arithmetic number, because the mean of its divisors is an integer number (194554347120).

Almost surely, 2^{13454224532320} is an apocalyptic number.

13454224532320 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 13454224532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18677217323520).

13454224532320 is an abundant number, since it is smaller than the sum of its proper divisors (23900210114720).

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

13454224532320 is a wasteful number, since it uses less digits than its factorization.

13454224532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187509 (or 187501 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 13454224532320 its reverse (2323542245431), we get a palindrome (15777766777751).

The spelling of 13454224532320 in words is "thirteen trillion, four hundred fifty-four billion, two hundred twenty-four million, five hundred thirty-two thousand, three hundred twenty".