13452930247680 has 1408 divisors, whose sum is σ = 60328492277760. Its totient is φ = 2761553018880.

The previous prime is 13452930247651. The next prime is 13452930247681. The reversal of 13452930247680 is 8674203925431.

13452930247680 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 2 + 93 + 0 + 2 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×13452930247680² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13452930247681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 883484227 + ... + 883499453.

It is a 1-persistent number, because it is pandigital, but 2⋅13452930247680 = 26905860495360 is not.

Almost surely, 2^{13452930247680} is an apocalyptic number.

13452930247680 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 13452930247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30164246138880).

13452930247680 is an abundant number, since it is smaller than the sum of its proper divisors (46875562030080).

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

13452930247680 is a wasteful number, since it uses less digits than its factorization.

13452930247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15362 (or 15338 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 13452930247680 in words is "thirteen trillion, four hundred fifty-two billion, nine hundred thirty million, two hundred forty-seven thousand, six hundred eighty".