13451645734560 has 384 divisors, whose sum is σ = 52010980761600. Its totient is φ = 3219725583360.

The previous prime is 13451645734547. The next prime is 13451645734561. The reversal of 13451645734560 is 6543754615431.

13451645734560 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 1 + 6 + 4 + 5 + 73 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13451645734497 and 13451645734506.

It is not an unprimeable number, because it can be changed into a prime (13451645734561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1962477 + ... + 5545683.

It is an arithmetic number, because the mean of its divisors is an integer number (135445262400).

Almost surely, 2^{13451645734560} is an apocalyptic number.

13451645734560 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 13451645734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26005490380800).

13451645734560 is an abundant number, since it is smaller than the sum of its proper divisors (38559335027040).

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

13451645734560 is a wasteful number, since it uses less digits than its factorization.

13451645734560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583321 (or 3583307 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 13451645734560 in words is "thirteen trillion, four hundred fifty-one billion, six hundred forty-five million, seven hundred thirty-four thousand, five hundred sixty".