13514448096 has 72 divisors (see below), whose sum is σ = 38574801720. Its totient is φ = 4488043776.

The previous prime is 13514448037. The next prime is 13514448119. The reversal of 13514448096 is 69084441531.

13514448096 is a `hidden beast` number, since 1 + 3 + 514 + 4 + 48 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9750 + ... + 164693.

It is an arithmetic number, because the mean of its divisors is an integer number (535761135).

Almost surely, 2^13514448096 is an apocalyptic number.

13514448096 is a gapful number since it is divisible by the number (16) 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 13514448096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19287400860).

13514448096 is an abundant number, since it is smaller than the sum of its proper divisors (25060353624).

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

13514448096 is a wasteful number, since it uses less digits than its factorization.

13514448096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174728 (or 174717 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13514448096 in words is "thirteen billion, five hundred fourteen million, four hundred forty-eight thousand, ninety-six".