13449246720 has 768 divisors, whose sum is σ = 56269624320. Its totient is φ = 2661285888.

The previous prime is 13449246719. The next prime is 13449246721. The reversal of 13449246720 is 2764294431.

It is an interprime number because it is at equal distance from previous prime (13449246719) and next prime (13449246721).

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13449246721) by changing a digit.

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, 47523699 + ... + 47523981.

It is an arithmetic number, because the mean of its divisors is an integer number (73267740).

Almost surely, 2^13449246720 is an apocalyptic number.

13449246720 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 13449246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28134812160).

13449246720 is an abundant number, since it is smaller than the sum of its proper divisors (42820377600).

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

13449246720 is a wasteful number, since it uses less digits than its factorization.

13449246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 13449246720 in words is "thirteen billion, four hundred forty-nine million, two hundred forty-six thousand, seven hundred twenty".