13514045760 has 336 divisors, whose sum is σ = 49290988032. Its totient is φ = 3392409600.

The previous prime is 13514045717. The next prime is 13514045767. The reversal of 13514045760 is 6754041531.

13514045760 is a `hidden beast` number, since 1 + 3 + 5 + 140 + 457 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13514045767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3301315 + ... + 3305405.

Almost surely, 2^13514045760 is an apocalyptic number.

13514045760 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 13514045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24645494016).

13514045760 is an abundant number, since it is smaller than the sum of its proper divisors (35776942272).

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

13514045760 is a wasteful number, since it uses less digits than its factorization.

13514045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 13514045760 in words is "thirteen billion, five hundred fourteen million, forty-five thousand, seven hundred sixty".