13454665224 has 256 divisors, whose sum is σ = 46018990080. Its totient is φ = 3164728320.

The previous prime is 13454665183. The next prime is 13454665271. The reversal of 13454665224 is 42256645431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1267989 + ... + 1278555.

It is an arithmetic number, because the mean of its divisors is an integer number (179761680).

Almost surely, 2^13454665224 is an apocalyptic number.

13454665224 is a gapful number since it is divisible by the number (14) 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 13454665224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23009495040).

13454665224 is an abundant number, since it is smaller than the sum of its proper divisors (32564324856).

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

13454665224 is a wasteful number, since it uses less digits than its factorization.

13454665224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10660 (or 10656 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The spelling of 13454665224 in words is "thirteen billion, four hundred fifty-four million, six hundred sixty-five thousand, two hundred twenty-four".