13454622720 has 960 divisors, whose sum is σ = 60396134400. Its totient is φ = 2760376320.

The previous prime is 13454622707. The next prime is 13454622737. The reversal of 13454622720 is 2722645431.

13454622720 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 4 + 622 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170311641 + ... + 170311719.

It is an arithmetic number, because the mean of its divisors is an integer number (62912640).

Almost surely, 2^13454622720 is an apocalyptic number.

13454622720 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 13454622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30198067200).

13454622720 is an abundant number, since it is smaller than the sum of its proper divisors (46941511680).

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

13454622720 is an equidigital number, since it uses as much as digits as its factorization.

13454622720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 13454622720 in words is "thirteen billion, four hundred fifty-four million, six hundred twenty-two thousand, seven hundred twenty".