13354501334720 has 448 divisors, whose sum is σ = 39436648559616. Its totient is φ = 4194451537920.

The previous prime is 13354501334677. The next prime is 13354501334753. The reversal of 13354501334720 is 2743310545331.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×13354501334720² (a number of 27 digits) contains 22 as substring.

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, 2291828447 + ... + 2291834273.

It is an arithmetic number, because the mean of its divisors is an integer number (88028233392).

Almost surely, 2^{13354501334720} is an apocalyptic number.

13354501334720 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 13354501334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19718324279808).

13354501334720 is an abundant number, since it is smaller than the sum of its proper divisors (26082147224896).

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

13354501334720 is a wasteful number, since it uses less digits than its factorization.

13354501334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 41.

The spelling of 13354501334720 in words is "thirteen trillion, three hundred fifty-four billion, five hundred one million, three hundred thirty-four thousand, seven hundred twenty".