13449099414672 has 320 divisors, whose sum is σ = 40592351923200. Its totient is φ = 4258852577280.

The previous prime is 13449099414587. The next prime is 13449099414679. The reversal of 13449099414672 is 27641499094431.

13449099414672 is a `hidden beast` number, since 1 + 3 + 4 + 49 + 0 + 99 + 41 + 467 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (13449099414679) 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, 163954404 + ... + 164036412.

It is an arithmetic number, because the mean of its divisors is an integer number (126851099760).

Almost surely, 2^{13449099414672} is an apocalyptic number.

13449099414672 is a gapful number since it is divisible by the number (12) 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 13449099414672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296175961600).

13449099414672 is an abundant number, since it is smaller than the sum of its proper divisors (27143252508528).

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

13449099414672 is a wasteful number, since it uses less digits than its factorization.

13449099414672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82311 (or 82299 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 13449099414672 in words is "thirteen trillion, four hundred forty-nine billion, ninety-nine million, four hundred fourteen thousand, six hundred seventy-two".